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Finding the Fourth Proportional to 113.68, 169.65 and 101.40

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Solution

The fourth proportional to 113.68, 169.65 and 101.40 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 169.65 = 101.40 : x
  2. Step 2: Convert to fraction form
    113.68/169.65 = 101.40/x
  3. Step 3: Cross multiply
    113.68x = 169.65 × 101.40
  4. Step 4: Simplify right side
    113.68x = 17,201.76
  5. Step 5: Solve for x
    x = 17,201.76/113.68
  6. Step 6: Final answer
    x = 151.31

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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.