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Finding the Fourth Proportional to 394.29, 542.93 and 311.13

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Solution

The fourth proportional to 394.29, 542.93 and 311.13 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.29 : 542.93 = 311.13 : x
  2. Step 2: Convert to fraction form
    394.29/542.93 = 311.13/x
  3. Step 3: Cross multiply
    394.29x = 542.93 × 311.13
  4. Step 4: Simplify right side
    394.29x = 168,920.26
  5. Step 5: Solve for x
    x = 168,920.26/394.29
  6. Step 6: Final answer
    x = 428.42

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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.