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Finding the Fourth Proportional to 178.85, 246.87 and 113.44

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Solution

The fourth proportional to 178.85, 246.87 and 113.44 is: 156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.85 : 246.87 = 113.44 : x
  2. Step 2: Convert to fraction form
    178.85/246.87 = 113.44/x
  3. Step 3: Cross multiply
    178.85x = 246.87 × 113.44
  4. Step 4: Simplify right side
    178.85x = 28,005.24
  5. Step 5: Solve for x
    x = 28,005.24/178.85
  6. Step 6: Final answer
    x = 156.59

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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.