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Finding the Fourth Proportional to 249.76, 374.40 and 226.48

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Solution

The fourth proportional to 249.76, 374.40 and 226.48 is: 339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.76 : 374.40 = 226.48 : x
  2. Step 2: Convert to fraction form
    249.76/374.40 = 226.48/x
  3. Step 3: Cross multiply
    249.76x = 374.40 × 226.48
  4. Step 4: Simplify right side
    249.76x = 84,794.11
  5. Step 5: Solve for x
    x = 84,794.11/249.76
  6. Step 6: Final answer
    x = 339.50

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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.