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Finding the Fourth Proportional to 297.55, 445.92 and 114.85

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Solution

The fourth proportional to 297.55, 445.92 and 114.85 is: 172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.55 : 445.92 = 114.85 : x
  2. Step 2: Convert to fraction form
    297.55/445.92 = 114.85/x
  3. Step 3: Cross multiply
    297.55x = 445.92 × 114.85
  4. Step 4: Simplify right side
    297.55x = 51,213.91
  5. Step 5: Solve for x
    x = 51,213.91/297.55
  6. Step 6: Final answer
    x = 172.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.