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Finding the Fourth Proportional to 506.13, 759.10 and 140.82

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Solution

The fourth proportional to 506.13, 759.10 and 140.82 is: 211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 759.10 = 140.82 : x
  2. Step 2: Convert to fraction form
    506.13/759.10 = 140.82/x
  3. Step 3: Cross multiply
    506.13x = 759.10 × 140.82
  4. Step 4: Simplify right side
    506.13x = 106,896.46
  5. Step 5: Solve for x
    x = 106,896.46/506.13
  6. Step 6: Final answer
    x = 211.20

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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.