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Finding the Fourth Proportional to 338.12, 506.20 and 311.87

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Solution

The fourth proportional to 338.12, 506.20 and 311.87 is: 466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 506.20 = 311.87 : x
  2. Step 2: Convert to fraction form
    338.12/506.20 = 311.87/x
  3. Step 3: Cross multiply
    338.12x = 506.20 × 311.87
  4. Step 4: Simplify right side
    338.12x = 157,868.59
  5. Step 5: Solve for x
    x = 157,868.59/338.12
  6. Step 6: Final answer
    x = 466.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.