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Finding the Fourth Proportional to 510.39, 764.87 and 235.80

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Solution

The fourth proportional to 510.39, 764.87 and 235.80 is: 353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.39 : 764.87 = 235.80 : x
  2. Step 2: Convert to fraction form
    510.39/764.87 = 235.80/x
  3. Step 3: Cross multiply
    510.39x = 764.87 × 235.80
  4. Step 4: Simplify right side
    510.39x = 180,355.17
  5. Step 5: Solve for x
    x = 180,355.17/510.39
  6. Step 6: Final answer
    x = 353.37

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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.