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Finding the Fourth Proportional to 160.29, 241.62 and 158.43

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Solution

The fourth proportional to 160.29, 241.62 and 158.43 is: 238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.29 : 241.62 = 158.43 : x
  2. Step 2: Convert to fraction form
    160.29/241.62 = 158.43/x
  3. Step 3: Cross multiply
    160.29x = 241.62 × 158.43
  4. Step 4: Simplify right side
    160.29x = 38,279.86
  5. Step 5: Solve for x
    x = 38,279.86/160.29
  6. Step 6: Final answer
    x = 238.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.