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Finding the Fourth Proportional to 113.57, 169.37 and 101.13

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Solution

The fourth proportional to 113.57, 169.37 and 101.13 is: 150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.57 : 169.37 = 101.13 : x
  2. Step 2: Convert to fraction form
    113.57/169.37 = 101.13/x
  3. Step 3: Cross multiply
    113.57x = 169.37 × 101.13
  4. Step 4: Simplify right side
    113.57x = 17,127.88
  5. Step 5: Solve for x
    x = 17,127.88/113.57
  6. Step 6: Final answer
    x = 150.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.