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Finding the Fourth Proportional to 391.99, 585.12 and 363.44

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Solution

The fourth proportional to 391.99, 585.12 and 363.44 is: 542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.99 : 585.12 = 363.44 : x
  2. Step 2: Convert to fraction form
    391.99/585.12 = 363.44/x
  3. Step 3: Cross multiply
    391.99x = 585.12 × 363.44
  4. Step 4: Simplify right side
    391.99x = 212,655.46
  5. Step 5: Solve for x
    x = 212,655.46/391.99
  6. Step 6: Final answer
    x = 542.50

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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.