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Finding the Fourth Proportional to 280.26, 417.96 and 243.90

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Solution

The fourth proportional to 280.26, 417.96 and 243.90 is: 363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 417.96 = 243.90 : x
  2. Step 2: Convert to fraction form
    280.26/417.96 = 243.90/x
  3. Step 3: Cross multiply
    280.26x = 417.96 × 243.90
  4. Step 4: Simplify right side
    280.26x = 101,940.44
  5. Step 5: Solve for x
    x = 101,940.44/280.26
  6. Step 6: Final answer
    x = 363.74

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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.