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Finding the Fourth Proportional to 280.41, 387.12 and 243.96

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Solution

The fourth proportional to 280.41, 387.12 and 243.96 is: 336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 387.12 = 243.96 : x
  2. Step 2: Convert to fraction form
    280.41/387.12 = 243.96/x
  3. Step 3: Cross multiply
    280.41x = 387.12 × 243.96
  4. Step 4: Simplify right side
    280.41x = 94,441.80
  5. Step 5: Solve for x
    x = 94,441.80/280.41
  6. Step 6: Final answer
    x = 336.80

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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.