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Finding the Fourth Proportional to 310.40, 464.69 and 229.61

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Solution

The fourth proportional to 310.40, 464.69 and 229.61 is: 343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.40 : 464.69 = 229.61 : x
  2. Step 2: Convert to fraction form
    310.40/464.69 = 229.61/x
  3. Step 3: Cross multiply
    310.40x = 464.69 × 229.61
  4. Step 4: Simplify right side
    310.40x = 106,694.00
  5. Step 5: Solve for x
    x = 106,694.00/310.40
  6. Step 6: Final answer
    x = 343.73

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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.