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Finding the Fourth Proportional to 381.32, 567.68 and 379.52

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Solution

The fourth proportional to 381.32, 567.68 and 379.52 is: 565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.32 : 567.68 = 379.52 : x
  2. Step 2: Convert to fraction form
    381.32/567.68 = 379.52/x
  3. Step 3: Cross multiply
    381.32x = 567.68 × 379.52
  4. Step 4: Simplify right side
    381.32x = 215,445.91
  5. Step 5: Solve for x
    x = 215,445.91/381.32
  6. Step 6: Final answer
    x = 565.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.