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Finding the Fourth Proportional to 382.20, 529.65 and 374.90

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Solution

The fourth proportional to 382.20, 529.65 and 374.90 is: 519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 529.65 = 374.90 : x
  2. Step 2: Convert to fraction form
    382.20/529.65 = 374.90/x
  3. Step 3: Cross multiply
    382.20x = 529.65 × 374.90
  4. Step 4: Simplify right side
    382.20x = 198,565.79
  5. Step 5: Solve for x
    x = 198,565.79/382.20
  6. Step 6: Final answer
    x = 519.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.