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Finding the Fourth Proportional to 392.16, 542.16 and 299.37

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Solution

The fourth proportional to 392.16, 542.16 and 299.37 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 542.16 = 299.37 : x
  2. Step 2: Convert to fraction form
    392.16/542.16 = 299.37/x
  3. Step 3: Cross multiply
    392.16x = 542.16 × 299.37
  4. Step 4: Simplify right side
    392.16x = 162,306.44
  5. Step 5: Solve for x
    x = 162,306.44/392.16
  6. Step 6: Final answer
    x = 413.88

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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.