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Finding the Fourth Proportional to 392.86, 541.87 and 252.98

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Solution

The fourth proportional to 392.86, 541.87 and 252.98 is: 348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.86 : 541.87 = 252.98 : x
  2. Step 2: Convert to fraction form
    392.86/541.87 = 252.98/x
  3. Step 3: Cross multiply
    392.86x = 541.87 × 252.98
  4. Step 4: Simplify right side
    392.86x = 137,082.27
  5. Step 5: Solve for x
    x = 137,082.27/392.86
  6. Step 6: Final answer
    x = 348.93

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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.