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Finding the Fourth Proportional to 394.09, 591.42 and 147.52

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Solution

The fourth proportional to 394.09, 591.42 and 147.52 is: 221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.09 : 591.42 = 147.52 : x
  2. Step 2: Convert to fraction form
    394.09/591.42 = 147.52/x
  3. Step 3: Cross multiply
    394.09x = 591.42 × 147.52
  4. Step 4: Simplify right side
    394.09x = 87,243.32
  5. Step 5: Solve for x
    x = 87,243.32/394.09
  6. Step 6: Final answer
    x = 221.38

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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.