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Finding the Fourth Proportional to 239.65, 330.46 and 225.97

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Solution

The fourth proportional to 239.65, 330.46 and 225.97 is: 311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.65 : 330.46 = 225.97 : x
  2. Step 2: Convert to fraction form
    239.65/330.46 = 225.97/x
  3. Step 3: Cross multiply
    239.65x = 330.46 × 225.97
  4. Step 4: Simplify right side
    239.65x = 74,674.05
  5. Step 5: Solve for x
    x = 74,674.05/239.65
  6. Step 6: Final answer
    x = 311.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.