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Finding the Fourth Proportional to 119.97, 179.86 and 42.91

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Solution

The fourth proportional to 119.97, 179.86 and 42.91 is: 64.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.97 : 179.86 = 42.91 : x
  2. Step 2: Convert to fraction form
    119.97/179.86 = 42.91/x
  3. Step 3: Cross multiply
    119.97x = 179.86 × 42.91
  4. Step 4: Simplify right side
    119.97x = 7,717.79
  5. Step 5: Solve for x
    x = 7,717.79/119.97
  6. Step 6: Final answer
    x = 64.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.