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Finding the Fourth Proportional to 113.46, 169.19 and 108.42

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Solution

The fourth proportional to 113.46, 169.19 and 108.42 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.46 : 169.19 = 108.42 : x
  2. Step 2: Convert to fraction form
    113.46/169.19 = 108.42/x
  3. Step 3: Cross multiply
    113.46x = 169.19 × 108.42
  4. Step 4: Simplify right side
    113.46x = 18,343.04
  5. Step 5: Solve for x
    x = 18,343.04/113.46
  6. Step 6: Final answer
    x = 161.67

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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.