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Finding the Fourth Proportional to 280.18, 418.26 and 243.74

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Solution

The fourth proportional to 280.18, 418.26 and 243.74 is: 363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.18 : 418.26 = 243.74 : x
  2. Step 2: Convert to fraction form
    280.18/418.26 = 243.74/x
  3. Step 3: Cross multiply
    280.18x = 418.26 × 243.74
  4. Step 4: Simplify right side
    280.18x = 101,946.69
  5. Step 5: Solve for x
    x = 101,946.69/280.18
  6. Step 6: Final answer
    x = 363.86

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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.