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Finding the Fourth Proportional to 510.92, 766.53 and 202.92

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Solution

The fourth proportional to 510.92, 766.53 and 202.92 is: 304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 766.53 = 202.92 : x
  2. Step 2: Convert to fraction form
    510.92/766.53 = 202.92/x
  3. Step 3: Cross multiply
    510.92x = 766.53 × 202.92
  4. Step 4: Simplify right side
    510.92x = 155,541.39
  5. Step 5: Solve for x
    x = 155,541.39/510.92
  6. Step 6: Final answer
    x = 304.43

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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.