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Finding the Fourth Proportional to 393.68, 542.85 and 334.86

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Solution

The fourth proportional to 393.68, 542.85 and 334.86 is: 461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.68 : 542.85 = 334.86 : x
  2. Step 2: Convert to fraction form
    393.68/542.85 = 334.86/x
  3. Step 3: Cross multiply
    393.68x = 542.85 × 334.86
  4. Step 4: Simplify right side
    393.68x = 181,778.75
  5. Step 5: Solve for x
    x = 181,778.75/393.68
  6. Step 6: Final answer
    x = 461.75

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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.