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Finding the Fourth Proportional to 295.76, 444.03 and 252.71

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Solution

The fourth proportional to 295.76, 444.03 and 252.71 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.76 : 444.03 = 252.71 : x
  2. Step 2: Convert to fraction form
    295.76/444.03 = 252.71/x
  3. Step 3: Cross multiply
    295.76x = 444.03 × 252.71
  4. Step 4: Simplify right side
    295.76x = 112,209.55
  5. Step 5: Solve for x
    x = 112,209.55/295.76
  6. Step 6: Final answer
    x = 379.39

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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.