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Finding the Fourth Proportional to 160.72, 239.78 and 139.12

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Solution

The fourth proportional to 160.72, 239.78 and 139.12 is: 207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 239.78 = 139.12 : x
  2. Step 2: Convert to fraction form
    160.72/239.78 = 139.12/x
  3. Step 3: Cross multiply
    160.72x = 239.78 × 139.12
  4. Step 4: Simplify right side
    160.72x = 33,358.19
  5. Step 5: Solve for x
    x = 33,358.19/160.72
  6. Step 6: Final answer
    x = 207.55

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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.