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Finding the Fourth Proportional to 280.96, 420.48 and 195.52

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Solution

The fourth proportional to 280.96, 420.48 and 195.52 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 420.48 = 195.52 : x
  2. Step 2: Convert to fraction form
    280.96/420.48 = 195.52/x
  3. Step 3: Cross multiply
    280.96x = 420.48 × 195.52
  4. Step 4: Simplify right side
    280.96x = 82,212.25
  5. Step 5: Solve for x
    x = 82,212.25/280.96
  6. Step 6: Final answer
    x = 292.61

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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.