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Finding the Fourth Proportional to 169.86, 234.31 and 99.91

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Solution

The fourth proportional to 169.86, 234.31 and 99.91 is: 137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 234.31 = 99.91 : x
  2. Step 2: Convert to fraction form
    169.86/234.31 = 99.91/x
  3. Step 3: Cross multiply
    169.86x = 234.31 × 99.91
  4. Step 4: Simplify right side
    169.86x = 23,409.91
  5. Step 5: Solve for x
    x = 23,409.91/169.86
  6. Step 6: Final answer
    x = 137.82

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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.