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Finding the Fourth Proportional to 394.30, 542.19 and 382.15

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Solution

The fourth proportional to 394.30, 542.19 and 382.15 is: 525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 542.19 = 382.15 : x
  2. Step 2: Convert to fraction form
    394.30/542.19 = 382.15/x
  3. Step 3: Cross multiply
    394.30x = 542.19 × 382.15
  4. Step 4: Simplify right side
    394.30x = 207,197.91
  5. Step 5: Solve for x
    x = 207,197.91/394.30
  6. Step 6: Final answer
    x = 525.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.