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Finding the Fourth Proportional to 392.49, 541.48 and 267.95

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Solution

The fourth proportional to 392.49, 541.48 and 267.95 is: 369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.49 : 541.48 = 267.95 : x
  2. Step 2: Convert to fraction form
    392.49/541.48 = 267.95/x
  3. Step 3: Cross multiply
    392.49x = 541.48 × 267.95
  4. Step 4: Simplify right side
    392.49x = 145,089.57
  5. Step 5: Solve for x
    x = 145,089.57/392.49
  6. Step 6: Final answer
    x = 369.66

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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.