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Finding the Fourth Proportional to 474.44, 655.24 and 382.20

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Solution

The fourth proportional to 474.44, 655.24 and 382.20 is: 527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 655.24 = 382.20 : x
  2. Step 2: Convert to fraction form
    474.44/655.24 = 382.20/x
  3. Step 3: Cross multiply
    474.44x = 655.24 × 382.20
  4. Step 4: Simplify right side
    474.44x = 250,432.73
  5. Step 5: Solve for x
    x = 250,432.73/474.44
  6. Step 6: Final answer
    x = 527.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.