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Finding the Fourth Proportional to 311.65, 467.78 and 230.85

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Solution

The fourth proportional to 311.65, 467.78 and 230.85 is: 346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 467.78 = 230.85 : x
  2. Step 2: Convert to fraction form
    311.65/467.78 = 230.85/x
  3. Step 3: Cross multiply
    311.65x = 467.78 × 230.85
  4. Step 4: Simplify right side
    311.65x = 107,985.86
  5. Step 5: Solve for x
    x = 107,985.86/311.65
  6. Step 6: Final answer
    x = 346.50

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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.