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Finding the Fourth Proportional to 250.99, 347.12 and 224.72

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Solution

The fourth proportional to 250.99, 347.12 and 224.72 is: 310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.99 : 347.12 = 224.72 : x
  2. Step 2: Convert to fraction form
    250.99/347.12 = 224.72/x
  3. Step 3: Cross multiply
    250.99x = 347.12 × 224.72
  4. Step 4: Simplify right side
    250.99x = 78,003.63
  5. Step 5: Solve for x
    x = 78,003.63/250.99
  6. Step 6: Final answer
    x = 310.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.