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Finding the Fourth Proportional to 160.58, 239.75 and 158.87

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Solution

The fourth proportional to 160.58, 239.75 and 158.87 is: 237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.58 : 239.75 = 158.87 : x
  2. Step 2: Convert to fraction form
    160.58/239.75 = 158.87/x
  3. Step 3: Cross multiply
    160.58x = 239.75 × 158.87
  4. Step 4: Simplify right side
    160.58x = 38,087.09
  5. Step 5: Solve for x
    x = 38,087.09/160.58
  6. Step 6: Final answer
    x = 237.19

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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.