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Finding the Fourth Proportional to 178.28, 245.96 and 138.92

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Solution

The fourth proportional to 178.28, 245.96 and 138.92 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.28 : 245.96 = 138.92 : x
  2. Step 2: Convert to fraction form
    178.28/245.96 = 138.92/x
  3. Step 3: Cross multiply
    178.28x = 245.96 × 138.92
  4. Step 4: Simplify right side
    178.28x = 34,168.76
  5. Step 5: Solve for x
    x = 34,168.76/178.28
  6. Step 6: Final answer
    x = 191.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.