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Finding the Fourth Proportional to 280.56, 387.24 and 202.92

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Solution

The fourth proportional to 280.56, 387.24 and 202.92 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 387.24 = 202.92 : x
  2. Step 2: Convert to fraction form
    280.56/387.24 = 202.92/x
  3. Step 3: Cross multiply
    280.56x = 387.24 × 202.92
  4. Step 4: Simplify right side
    280.56x = 78,578.74
  5. Step 5: Solve for x
    x = 78,578.74/280.56
  6. Step 6: Final answer
    x = 280.08

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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.