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Finding the Fourth Proportional to 160.59, 239.80 and 140.92

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Solution

The fourth proportional to 160.59, 239.80 and 140.92 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 239.80 = 140.92 : x
  2. Step 2: Convert to fraction form
    160.59/239.80 = 140.92/x
  3. Step 3: Cross multiply
    160.59x = 239.80 × 140.92
  4. Step 4: Simplify right side
    160.59x = 33,790.71
  5. Step 5: Solve for x
    x = 33,790.71/160.59
  6. Step 6: Final answer
    x = 210.42

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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.