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Finding the Fourth Proportional to 112.46, 169.49 and 101.79

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Solution

The fourth proportional to 112.46, 169.49 and 101.79 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.46 : 169.49 = 101.79 : x
  2. Step 2: Convert to fraction form
    112.46/169.49 = 101.79/x
  3. Step 3: Cross multiply
    112.46x = 169.49 × 101.79
  4. Step 4: Simplify right side
    112.46x = 17,252.64
  5. Step 5: Solve for x
    x = 17,252.64/112.46
  6. Step 6: Final answer
    x = 153.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.