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Finding the Fourth Proportional to 510.78, 764.96 and 249.96

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Solution

The fourth proportional to 510.78, 764.96 and 249.96 is: 374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 764.96 = 249.96 : x
  2. Step 2: Convert to fraction form
    510.78/764.96 = 249.96/x
  3. Step 3: Cross multiply
    510.78x = 764.96 × 249.96
  4. Step 4: Simplify right side
    510.78x = 191,206.22
  5. Step 5: Solve for x
    x = 191,206.22/510.78
  6. Step 6: Final answer
    x = 374.34

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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.