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Finding the Fourth Proportional to 513.44, 770.16 and 167.06

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Solution

The fourth proportional to 513.44, 770.16 and 167.06 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 770.16 = 167.06 : x
  2. Step 2: Convert to fraction form
    513.44/770.16 = 167.06/x
  3. Step 3: Cross multiply
    513.44x = 770.16 × 167.06
  4. Step 4: Simplify right side
    513.44x = 128,662.93
  5. Step 5: Solve for x
    x = 128,662.93/513.44
  6. Step 6: Final answer
    x = 250.59

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Double scale
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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.