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Finding the Fourth Proportional to 113.67, 169.35 and 109.74

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Solution

The fourth proportional to 113.67, 169.35 and 109.74 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.67 : 169.35 = 109.74 : x
  2. Step 2: Convert to fraction form
    113.67/169.35 = 109.74/x
  3. Step 3: Cross multiply
    113.67x = 169.35 × 109.74
  4. Step 4: Simplify right side
    113.67x = 18,584.47
  5. Step 5: Solve for x
    x = 18,584.47/113.67
  6. Step 6: Final answer
    x = 163.49

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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.