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Finding the Fourth Proportional to 280.68, 387.36 and 243.96

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Solution

The fourth proportional to 280.68, 387.36 and 243.96 is: 336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.68 : 387.36 = 243.96 : x
  2. Step 2: Convert to fraction form
    280.68/387.36 = 243.96/x
  3. Step 3: Cross multiply
    280.68x = 387.36 × 243.96
  4. Step 4: Simplify right side
    280.68x = 94,500.35
  5. Step 5: Solve for x
    x = 94,500.35/280.68
  6. Step 6: Final answer
    x = 336.68

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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.