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Finding the Fourth Proportional to 249.96, 345.60 and 220.80

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Solution

The fourth proportional to 249.96, 345.60 and 220.80 is: 305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.96 : 345.60 = 220.80 : x
  2. Step 2: Convert to fraction form
    249.96/345.60 = 220.80/x
  3. Step 3: Cross multiply
    249.96x = 345.60 × 220.80
  4. Step 4: Simplify right side
    249.96x = 76,308.48
  5. Step 5: Solve for x
    x = 76,308.48/249.96
  6. Step 6: Final answer
    x = 305.28

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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.