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Finding the Fourth Proportional to 395.98, 542.15 and 394.60

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Solution

The fourth proportional to 395.98, 542.15 and 394.60 is: 540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 542.15 = 394.60 : x
  2. Step 2: Convert to fraction form
    395.98/542.15 = 394.60/x
  3. Step 3: Cross multiply
    395.98x = 542.15 × 394.60
  4. Step 4: Simplify right side
    395.98x = 213,932.39
  5. Step 5: Solve for x
    x = 213,932.39/395.98
  6. Step 6: Final answer
    x = 540.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.