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Finding the Fourth Proportional to 512.89, 769.40 and 188.21

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Solution

The fourth proportional to 512.89, 769.40 and 188.21 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 769.40 = 188.21 : x
  2. Step 2: Convert to fraction form
    512.89/769.40 = 188.21/x
  3. Step 3: Cross multiply
    512.89x = 769.40 × 188.21
  4. Step 4: Simplify right side
    512.89x = 144,808.77
  5. Step 5: Solve for x
    x = 144,808.77/512.89
  6. Step 6: Final answer
    x = 282.34

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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.