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Finding the Fourth Proportional to 169.90, 234.47 and 106.87

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Solution

The fourth proportional to 169.90, 234.47 and 106.87 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.90 : 234.47 = 106.87 : x
  2. Step 2: Convert to fraction form
    169.90/234.47 = 106.87/x
  3. Step 3: Cross multiply
    169.90x = 234.47 × 106.87
  4. Step 4: Simplify right side
    169.90x = 25,057.81
  5. Step 5: Solve for x
    x = 25,057.81/169.90
  6. Step 6: Final answer
    x = 147.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.