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Finding the Fourth Proportional to 297.22, 445.92 and 134.86

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Solution

The fourth proportional to 297.22, 445.92 and 134.86 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.22 : 445.92 = 134.86 : x
  2. Step 2: Convert to fraction form
    297.22/445.92 = 134.86/x
  3. Step 3: Cross multiply
    297.22x = 445.92 × 134.86
  4. Step 4: Simplify right side
    297.22x = 60,136.77
  5. Step 5: Solve for x
    x = 60,136.77/297.22
  6. Step 6: Final answer
    x = 202.33

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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.