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Finding the Fourth Proportional to 252.65, 377.08 and 219.56

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Solution

The fourth proportional to 252.65, 377.08 and 219.56 is: 327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.65 : 377.08 = 219.56 : x
  2. Step 2: Convert to fraction form
    252.65/377.08 = 219.56/x
  3. Step 3: Cross multiply
    252.65x = 377.08 × 219.56
  4. Step 4: Simplify right side
    252.65x = 82,790.74
  5. Step 5: Solve for x
    x = 82,790.74/252.65
  6. Step 6: Final answer
    x = 327.70

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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.