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Finding the Fourth Proportional to 391.19, 542.31 and 370.38

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Solution

The fourth proportional to 391.19, 542.31 and 370.38 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.19 : 542.31 = 370.38 : x
  2. Step 2: Convert to fraction form
    391.19/542.31 = 370.38/x
  3. Step 3: Cross multiply
    391.19x = 542.31 × 370.38
  4. Step 4: Simplify right side
    391.19x = 200,860.78
  5. Step 5: Solve for x
    x = 200,860.78/391.19
  6. Step 6: Final answer
    x = 513.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.