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Finding the Fourth Proportional to 381.95, 529.31 and 374.66

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Solution

The fourth proportional to 381.95, 529.31 and 374.66 is: 519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.95 : 529.31 = 374.66 : x
  2. Step 2: Convert to fraction form
    381.95/529.31 = 374.66/x
  3. Step 3: Cross multiply
    381.95x = 529.31 × 374.66
  4. Step 4: Simplify right side
    381.95x = 198,311.28
  5. Step 5: Solve for x
    x = 198,311.28/381.95
  6. Step 6: Final answer
    x = 519.21

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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.