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Finding the Fourth Proportional to 392.55, 542.15 and 267.99

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Solution

The fourth proportional to 392.55, 542.15 and 267.99 is: 370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.55 : 542.15 = 267.99 : x
  2. Step 2: Convert to fraction form
    392.55/542.15 = 267.99/x
  3. Step 3: Cross multiply
    392.55x = 542.15 × 267.99
  4. Step 4: Simplify right side
    392.55x = 145,290.78
  5. Step 5: Solve for x
    x = 145,290.78/392.55
  6. Step 6: Final answer
    x = 370.12

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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.