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Finding the Fourth Proportional to 394.31, 542.90 and 335.18

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Solution

The fourth proportional to 394.31, 542.90 and 335.18 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.31 : 542.90 = 335.18 : x
  2. Step 2: Convert to fraction form
    394.31/542.90 = 335.18/x
  3. Step 3: Cross multiply
    394.31x = 542.90 × 335.18
  4. Step 4: Simplify right side
    394.31x = 181,967.35
  5. Step 5: Solve for x
    x = 181,967.35/394.31
  6. Step 6: Final answer
    x = 461.49

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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.