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Finding the Fourth Proportional to 338, 465.81 and 311.86

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Solution

The fourth proportional to 338, 465.81 and 311.86 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 465.81 = 311.86 : x
  2. Step 2: Convert to fraction form
    338/465.81 = 311.86/x
  3. Step 3: Cross multiply
    338x = 465.81 × 311.86
  4. Step 4: Simplify right side
    338x = 145,265.18
  5. Step 5: Solve for x
    x = 145,265.18/338
  6. Step 6: Final answer
    x = 429.78

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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.