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Finding the Fourth Proportional to 113.68, 169.70 and 100.88

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Solution

The fourth proportional to 113.68, 169.70 and 100.88 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 169.70 = 100.88 : x
  2. Step 2: Convert to fraction form
    113.68/169.70 = 100.88/x
  3. Step 3: Cross multiply
    113.68x = 169.70 × 100.88
  4. Step 4: Simplify right side
    113.68x = 17,119.34
  5. Step 5: Solve for x
    x = 17,119.34/113.68
  6. Step 6: Final answer
    x = 150.59

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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.