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Finding the Fourth Proportional to 247.92, 372.72 and 202.56

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Solution

The fourth proportional to 247.92, 372.72 and 202.56 is: 304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.92 : 372.72 = 202.56 : x
  2. Step 2: Convert to fraction form
    247.92/372.72 = 202.56/x
  3. Step 3: Cross multiply
    247.92x = 372.72 × 202.56
  4. Step 4: Simplify right side
    247.92x = 75,498.16
  5. Step 5: Solve for x
    x = 75,498.16/247.92
  6. Step 6: Final answer
    x = 304.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.