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Finding the Fourth Proportional to 387.40, 584.11 and 363.40

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Solution

The fourth proportional to 387.40, 584.11 and 363.40 is: 547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 584.11 = 363.40 : x
  2. Step 2: Convert to fraction form
    387.40/584.11 = 363.40/x
  3. Step 3: Cross multiply
    387.40x = 584.11 × 363.40
  4. Step 4: Simplify right side
    387.40x = 212,265.57
  5. Step 5: Solve for x
    x = 212,265.57/387.40
  6. Step 6: Final answer
    x = 547.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.