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Finding the Fourth Proportional to 311.38, 468.65 and 234.77

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Solution

The fourth proportional to 311.38, 468.65 and 234.77 is: 353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.38 : 468.65 = 234.77 : x
  2. Step 2: Convert to fraction form
    311.38/468.65 = 234.77/x
  3. Step 3: Cross multiply
    311.38x = 468.65 × 234.77
  4. Step 4: Simplify right side
    311.38x = 110,023.20
  5. Step 5: Solve for x
    x = 110,023.20/311.38
  6. Step 6: Final answer
    x = 353.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.