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Finding the Fourth Proportional to 392.40, 585.76 and 363.90

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Solution

The fourth proportional to 392.40, 585.76 and 363.90 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 585.76 = 363.90 : x
  2. Step 2: Convert to fraction form
    392.40/585.76 = 363.90/x
  3. Step 3: Cross multiply
    392.40x = 585.76 × 363.90
  4. Step 4: Simplify right side
    392.40x = 213,156.74
  5. Step 5: Solve for x
    x = 213,156.74/392.40
  6. Step 6: Final answer
    x = 543.21

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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.