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Finding the Fourth Proportional to 506.47, 759.68 and 141.25

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Solution

The fourth proportional to 506.47, 759.68 and 141.25 is: 211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.47 : 759.68 = 141.25 : x
  2. Step 2: Convert to fraction form
    506.47/759.68 = 141.25/x
  3. Step 3: Cross multiply
    506.47x = 759.68 × 141.25
  4. Step 4: Simplify right side
    506.47x = 107,304.80
  5. Step 5: Solve for x
    x = 107,304.80/506.47
  6. Step 6: Final answer
    x = 211.87

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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.