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Finding the Fourth Proportional to 270.80, 403.96 and 243.44

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Solution

The fourth proportional to 270.80, 403.96 and 243.44 is: 363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 403.96 = 243.44 : x
  2. Step 2: Convert to fraction form
    270.80/403.96 = 243.44/x
  3. Step 3: Cross multiply
    270.80x = 403.96 × 243.44
  4. Step 4: Simplify right side
    270.80x = 98,340.02
  5. Step 5: Solve for x
    x = 98,340.02/270.80
  6. Step 6: Final answer
    x = 363.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.