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Finding the Fourth Proportional to 250.67, 344.98 and 224.75

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Solution

The fourth proportional to 250.67, 344.98 and 224.75 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.67 : 344.98 = 224.75 : x
  2. Step 2: Convert to fraction form
    250.67/344.98 = 224.75/x
  3. Step 3: Cross multiply
    250.67x = 344.98 × 224.75
  4. Step 4: Simplify right side
    250.67x = 77,534.26
  5. Step 5: Solve for x
    x = 77,534.26/250.67
  6. Step 6: Final answer
    x = 309.31

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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.