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Finding the Fourth Proportional to 276.76, 414.72 and 139.42

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Solution

The fourth proportional to 276.76, 414.72 and 139.42 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 414.72 = 139.42 : x
  2. Step 2: Convert to fraction form
    276.76/414.72 = 139.42/x
  3. Step 3: Cross multiply
    276.76x = 414.72 × 139.42
  4. Step 4: Simplify right side
    276.76x = 57,820.26
  5. Step 5: Solve for x
    x = 57,820.26/276.76
  6. Step 6: Final answer
    x = 208.92

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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.