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Finding the Fourth Proportional to 297.93, 447.17 and 135.71

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Solution

The fourth proportional to 297.93, 447.17 and 135.71 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.93 : 447.17 = 135.71 : x
  2. Step 2: Convert to fraction form
    297.93/447.17 = 135.71/x
  3. Step 3: Cross multiply
    297.93x = 447.17 × 135.71
  4. Step 4: Simplify right side
    297.93x = 60,682.53
  5. Step 5: Solve for x
    x = 60,682.53/297.93
  6. Step 6: Final answer
    x = 203.68

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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.