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Finding the Fourth Proportional to 280.73, 387.33 and 182.47

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Solution

The fourth proportional to 280.73, 387.33 and 182.47 is: 251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.73 : 387.33 = 182.47 : x
  2. Step 2: Convert to fraction form
    280.73/387.33 = 182.47/x
  3. Step 3: Cross multiply
    280.73x = 387.33 × 182.47
  4. Step 4: Simplify right side
    280.73x = 70,674.17
  5. Step 5: Solve for x
    x = 70,674.17/280.73
  6. Step 6: Final answer
    x = 251.76

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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.