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Finding the Fourth Proportional to 249.28, 374.16 and 225.28

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Solution

The fourth proportional to 249.28, 374.16 and 225.28 is: 338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.28 : 374.16 = 225.28 : x
  2. Step 2: Convert to fraction form
    249.28/374.16 = 225.28/x
  3. Step 3: Cross multiply
    249.28x = 374.16 × 225.28
  4. Step 4: Simplify right side
    249.28x = 84,290.76
  5. Step 5: Solve for x
    x = 84,290.76/249.28
  6. Step 6: Final answer
    x = 338.14

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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.