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Finding the Fourth Proportional to 394.06, 542.60 and 311.13

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Solution

The fourth proportional to 394.06, 542.60 and 311.13 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.06 : 542.60 = 311.13 : x
  2. Step 2: Convert to fraction form
    394.06/542.60 = 311.13/x
  3. Step 3: Cross multiply
    394.06x = 542.60 × 311.13
  4. Step 4: Simplify right side
    394.06x = 168,819.14
  5. Step 5: Solve for x
    x = 168,819.14/394.06
  6. Step 6: Final answer
    x = 428.41

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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.