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Finding the Fourth Proportional to 510.27, 765.41 and 140.08

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Solution

The fourth proportional to 510.27, 765.41 and 140.08 is: 210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.27 : 765.41 = 140.08 : x
  2. Step 2: Convert to fraction form
    510.27/765.41 = 140.08/x
  3. Step 3: Cross multiply
    510.27x = 765.41 × 140.08
  4. Step 4: Simplify right side
    510.27x = 107,220.56
  5. Step 5: Solve for x
    x = 107,220.56/510.27
  6. Step 6: Final answer
    x = 210.12

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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.