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Finding the Fourth Proportional to 396, 542.88 and 366.72

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Solution

The fourth proportional to 396, 542.88 and 366.72 is: 502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 542.88 = 366.72 : x
  2. Step 2: Convert to fraction form
    396/542.88 = 366.72/x
  3. Step 3: Cross multiply
    396x = 542.88 × 366.72
  4. Step 4: Simplify right side
    396x = 199,084.95
  5. Step 5: Solve for x
    x = 199,084.95/396
  6. Step 6: Final answer
    x = 502.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.