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Finding the Fourth Proportional to 252.46, 380.54 and 231.65

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Solution

The fourth proportional to 252.46, 380.54 and 231.65 is: 349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.46 : 380.54 = 231.65 : x
  2. Step 2: Convert to fraction form
    252.46/380.54 = 231.65/x
  3. Step 3: Cross multiply
    252.46x = 380.54 × 231.65
  4. Step 4: Simplify right side
    252.46x = 88,152.09
  5. Step 5: Solve for x
    x = 88,152.09/252.46
  6. Step 6: Final answer
    x = 349.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.