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Finding the Fourth Proportional to 252.19, 380.61 and 245.71

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Solution

The fourth proportional to 252.19, 380.61 and 245.71 is: 370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.19 : 380.61 = 245.71 : x
  2. Step 2: Convert to fraction form
    252.19/380.61 = 245.71/x
  3. Step 3: Cross multiply
    252.19x = 380.61 × 245.71
  4. Step 4: Simplify right side
    252.19x = 93,519.68
  5. Step 5: Solve for x
    x = 93,519.68/252.19
  6. Step 6: Final answer
    x = 370.83

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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.