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Finding the Fourth Proportional to 178.78, 246.55 and 112.31

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Solution

The fourth proportional to 178.78, 246.55 and 112.31 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.78 : 246.55 = 112.31 : x
  2. Step 2: Convert to fraction form
    178.78/246.55 = 112.31/x
  3. Step 3: Cross multiply
    178.78x = 246.55 × 112.31
  4. Step 4: Simplify right side
    178.78x = 27,690.03
  5. Step 5: Solve for x
    x = 27,690.03/178.78
  6. Step 6: Final answer
    x = 154.88

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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.