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Finding the Fourth Proportional to 160.84, 239.97 and 138.97

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Solution

The fourth proportional to 160.84, 239.97 and 138.97 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 239.97 = 138.97 : x
  2. Step 2: Convert to fraction form
    160.84/239.97 = 138.97/x
  3. Step 3: Cross multiply
    160.84x = 239.97 × 138.97
  4. Step 4: Simplify right side
    160.84x = 33,348.63
  5. Step 5: Solve for x
    x = 33,348.63/160.84
  6. Step 6: Final answer
    x = 207.34

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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.