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Finding the Fourth Proportional to 160.68, 239.57 and 158.92

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Solution

The fourth proportional to 160.68, 239.57 and 158.92 is: 236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 239.57 = 158.92 : x
  2. Step 2: Convert to fraction form
    160.68/239.57 = 158.92/x
  3. Step 3: Cross multiply
    160.68x = 239.57 × 158.92
  4. Step 4: Simplify right side
    160.68x = 38,072.46
  5. Step 5: Solve for x
    x = 38,072.46/160.68
  6. Step 6: Final answer
    x = 236.95

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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.