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Finding the Fourth Proportional to 280.74, 423.20 and 276.54

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Solution

The fourth proportional to 280.74, 423.20 and 276.54 is: 416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 423.20 = 276.54 : x
  2. Step 2: Convert to fraction form
    280.74/423.20 = 276.54/x
  3. Step 3: Cross multiply
    280.74x = 423.20 × 276.54
  4. Step 4: Simplify right side
    280.74x = 117,031.73
  5. Step 5: Solve for x
    x = 117,031.73/280.74
  6. Step 6: Final answer
    x = 416.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.