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Finding the Fourth Proportional to 250.26, 345.80 and 217.46

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Solution

The fourth proportional to 250.26, 345.80 and 217.46 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.26 : 345.80 = 217.46 : x
  2. Step 2: Convert to fraction form
    250.26/345.80 = 217.46/x
  3. Step 3: Cross multiply
    250.26x = 345.80 × 217.46
  4. Step 4: Simplify right side
    250.26x = 75,197.67
  5. Step 5: Solve for x
    x = 75,197.67/250.26
  6. Step 6: Final answer
    x = 300.48

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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.