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Finding the Fourth Proportional to 510.10, 764.81 and 249.89

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Solution

The fourth proportional to 510.10, 764.81 and 249.89 is: 374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 764.81 = 249.89 : x
  2. Step 2: Convert to fraction form
    510.10/764.81 = 249.89/x
  3. Step 3: Cross multiply
    510.10x = 764.81 × 249.89
  4. Step 4: Simplify right side
    510.10x = 191,114.23
  5. Step 5: Solve for x
    x = 191,114.23/510.10
  6. Step 6: Final answer
    x = 374.66

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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.