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Finding the Fourth Proportional to 178.28, 246.03 and 100.66

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Solution

The fourth proportional to 178.28, 246.03 and 100.66 is: 138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.28 : 246.03 = 100.66 : x
  2. Step 2: Convert to fraction form
    178.28/246.03 = 100.66/x
  3. Step 3: Cross multiply
    178.28x = 246.03 × 100.66
  4. Step 4: Simplify right side
    178.28x = 24,765.14
  5. Step 5: Solve for x
    x = 24,765.14/178.28
  6. Step 6: Final answer
    x = 138.91

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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.