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Finding the Fourth Proportional to 178.50, 268.97 and 158.86

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Solution

The fourth proportional to 178.50, 268.97 and 158.86 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 268.97 = 158.86 : x
  2. Step 2: Convert to fraction form
    178.50/268.97 = 158.86/x
  3. Step 3: Cross multiply
    178.50x = 268.97 × 158.86
  4. Step 4: Simplify right side
    178.50x = 42,726.44
  5. Step 5: Solve for x
    x = 42,726.44/178.50
  6. Step 6: Final answer
    x = 239.36

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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.