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Finding the Fourth Proportional to 311.15, 464.79 and 230.15

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Solution

The fourth proportional to 311.15, 464.79 and 230.15 is: 343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.15 : 464.79 = 230.15 : x
  2. Step 2: Convert to fraction form
    311.15/464.79 = 230.15/x
  3. Step 3: Cross multiply
    311.15x = 464.79 × 230.15
  4. Step 4: Simplify right side
    311.15x = 106,973.44
  5. Step 5: Solve for x
    x = 106,973.44/311.15
  6. Step 6: Final answer
    x = 343.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.