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Finding the Fourth Proportional to 510.13, 765.19 and 125.38

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Solution

The fourth proportional to 510.13, 765.19 and 125.38 is: 188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.13 : 765.19 = 125.38 : x
  2. Step 2: Convert to fraction form
    510.13/765.19 = 125.38/x
  3. Step 3: Cross multiply
    510.13x = 765.19 × 125.38
  4. Step 4: Simplify right side
    510.13x = 95,935.70
  5. Step 5: Solve for x
    x = 95,935.70/510.13
  6. Step 6: Final answer
    x = 188.06

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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.