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Finding the Fourth Proportional to 113.31, 169.17 and 108.45

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Solution

The fourth proportional to 113.31, 169.17 and 108.45 is: 161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.31 : 169.17 = 108.45 : x
  2. Step 2: Convert to fraction form
    113.31/169.17 = 108.45/x
  3. Step 3: Cross multiply
    113.31x = 169.17 × 108.45
  4. Step 4: Simplify right side
    113.31x = 18,346.49
  5. Step 5: Solve for x
    x = 18,346.49/113.31
  6. Step 6: Final answer
    x = 161.91

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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.