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Finding the Fourth Proportional to 178.38, 246.01 and 123.19

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Solution

The fourth proportional to 178.38, 246.01 and 123.19 is: 169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 246.01 = 123.19 : x
  2. Step 2: Convert to fraction form
    178.38/246.01 = 123.19/x
  3. Step 3: Cross multiply
    178.38x = 246.01 × 123.19
  4. Step 4: Simplify right side
    178.38x = 30,305.97
  5. Step 5: Solve for x
    x = 30,305.97/178.38
  6. Step 6: Final answer
    x = 169.90

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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.