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Finding the Fourth Proportional to 510.20, 764.34 and 293.12

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Solution

The fourth proportional to 510.20, 764.34 and 293.12 is: 439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 764.34 = 293.12 : x
  2. Step 2: Convert to fraction form
    510.20/764.34 = 293.12/x
  3. Step 3: Cross multiply
    510.20x = 764.34 × 293.12
  4. Step 4: Simplify right side
    510.20x = 224,043.34
  5. Step 5: Solve for x
    x = 224,043.34/510.20
  6. Step 6: Final answer
    x = 439.13

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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.