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Finding the Fourth Proportional to 160.83, 239.90 and 140.58

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Solution

The fourth proportional to 160.83, 239.90 and 140.58 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.83 : 239.90 = 140.58 : x
  2. Step 2: Convert to fraction form
    160.83/239.90 = 140.58/x
  3. Step 3: Cross multiply
    160.83x = 239.90 × 140.58
  4. Step 4: Simplify right side
    160.83x = 33,724.44
  5. Step 5: Solve for x
    x = 33,724.44/160.83
  6. Step 6: Final answer
    x = 209.69

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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.