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Finding the Fourth Proportional to 280.19, 418.80 and 243.33

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Solution

The fourth proportional to 280.19, 418.80 and 243.33 is: 363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.19 : 418.80 = 243.33 : x
  2. Step 2: Convert to fraction form
    280.19/418.80 = 243.33/x
  3. Step 3: Cross multiply
    280.19x = 418.80 × 243.33
  4. Step 4: Simplify right side
    280.19x = 101,906.60
  5. Step 5: Solve for x
    x = 101,906.60/280.19
  6. Step 6: Final answer
    x = 363.71

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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.