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Finding the Fourth Proportional to 160, 239.76 and 82.90

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Solution

The fourth proportional to 160, 239.76 and 82.90 is: 124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 239.76 = 82.90 : x
  2. Step 2: Convert to fraction form
    160/239.76 = 82.90/x
  3. Step 3: Cross multiply
    160x = 239.76 × 82.90
  4. Step 4: Simplify right side
    160x = 19,876.10
  5. Step 5: Solve for x
    x = 19,876.10/160
  6. Step 6: Final answer
    x = 124.23

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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.