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Finding the Fourth Proportional to 280.76, 387.24 and 197.80

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Solution

The fourth proportional to 280.76, 387.24 and 197.80 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 387.24 = 197.80 : x
  2. Step 2: Convert to fraction form
    280.76/387.24 = 197.80/x
  3. Step 3: Cross multiply
    280.76x = 387.24 × 197.80
  4. Step 4: Simplify right side
    280.76x = 76,596.07
  5. Step 5: Solve for x
    x = 76,596.07/280.76
  6. Step 6: Final answer
    x = 272.82

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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.