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Finding the Fourth Proportional to 178.89, 246.90 and 113.42

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Solution

The fourth proportional to 178.89, 246.90 and 113.42 is: 156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.89 : 246.90 = 113.42 : x
  2. Step 2: Convert to fraction form
    178.89/246.90 = 113.42/x
  3. Step 3: Cross multiply
    178.89x = 246.90 × 113.42
  4. Step 4: Simplify right side
    178.89x = 28,002.16
  5. Step 5: Solve for x
    x = 28,002.16/178.89
  6. Step 6: Final answer
    x = 156.53

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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.