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Finding the Fourth Proportional to 512.14, 768.18 and 170.14

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Solution

The fourth proportional to 512.14, 768.18 and 170.14 is: 255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.14 : 768.18 = 170.14 : x
  2. Step 2: Convert to fraction form
    512.14/768.18 = 170.14/x
  3. Step 3: Cross multiply
    512.14x = 768.18 × 170.14
  4. Step 4: Simplify right side
    512.14x = 130,698.15
  5. Step 5: Solve for x
    x = 130,698.15/512.14
  6. Step 6: Final answer
    x = 255.20

Related Problems

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Half scale
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Double scale
Find fourth proportional to 513.14, 769.68 and 171.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.