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Finding the Fourth Proportional to 250.42, 343.37 and 225.76

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Solution

The fourth proportional to 250.42, 343.37 and 225.76 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.42 : 343.37 = 225.76 : x
  2. Step 2: Convert to fraction form
    250.42/343.37 = 225.76/x
  3. Step 3: Cross multiply
    250.42x = 343.37 × 225.76
  4. Step 4: Simplify right side
    250.42x = 77,519.21
  5. Step 5: Solve for x
    x = 77,519.21/250.42
  6. Step 6: Final answer
    x = 309.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.