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Finding the Fourth Proportional to 169.86, 234.15 and 128.46

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Solution

The fourth proportional to 169.86, 234.15 and 128.46 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 234.15 = 128.46 : x
  2. Step 2: Convert to fraction form
    169.86/234.15 = 128.46/x
  3. Step 3: Cross multiply
    169.86x = 234.15 × 128.46
  4. Step 4: Simplify right side
    169.86x = 30,078.91
  5. Step 5: Solve for x
    x = 30,078.91/169.86
  6. Step 6: Final answer
    x = 177.08

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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.