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Finding the Fourth Proportional to 394.93, 591.97 and 151.35

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Solution

The fourth proportional to 394.93, 591.97 and 151.35 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.93 : 591.97 = 151.35 : x
  2. Step 2: Convert to fraction form
    394.93/591.97 = 151.35/x
  3. Step 3: Cross multiply
    394.93x = 591.97 × 151.35
  4. Step 4: Simplify right side
    394.93x = 89,593.90
  5. Step 5: Solve for x
    x = 89,593.90/394.93
  6. Step 6: Final answer
    x = 226.86

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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.