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Finding the Fourth Proportional to 380.43, 567.88 and 329.40

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Solution

The fourth proportional to 380.43, 567.88 and 329.40 is: 491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.43 : 567.88 = 329.40 : x
  2. Step 2: Convert to fraction form
    380.43/567.88 = 329.40/x
  3. Step 3: Cross multiply
    380.43x = 567.88 × 329.40
  4. Step 4: Simplify right side
    380.43x = 187,058.85
  5. Step 5: Solve for x
    x = 187,058.85/380.43
  6. Step 6: Final answer
    x = 491.70

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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.