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Finding the Fourth Proportional to 393.18, 591.12 and 382.92

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Solution

The fourth proportional to 393.18, 591.12 and 382.92 is: 575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.18 : 591.12 = 382.92 : x
  2. Step 2: Convert to fraction form
    393.18/591.12 = 382.92/x
  3. Step 3: Cross multiply
    393.18x = 591.12 × 382.92
  4. Step 4: Simplify right side
    393.18x = 226,351.67
  5. Step 5: Solve for x
    x = 226,351.67/393.18
  6. Step 6: Final answer
    x = 575.69

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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.