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Finding the Fourth Proportional to 311.88, 466.77 and 230.88

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Solution

The fourth proportional to 311.88, 466.77 and 230.88 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 466.77 = 230.88 : x
  2. Step 2: Convert to fraction form
    311.88/466.77 = 230.88/x
  3. Step 3: Cross multiply
    311.88x = 466.77 × 230.88
  4. Step 4: Simplify right side
    311.88x = 107,767.86
  5. Step 5: Solve for x
    x = 107,767.86/311.88
  6. Step 6: Final answer
    x = 345.54

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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.