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Finding the Fourth Proportional to 276.60, 382.68 and 242.20

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Solution

The fourth proportional to 276.60, 382.68 and 242.20 is: 335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.60 : 382.68 = 242.20 : x
  2. Step 2: Convert to fraction form
    276.60/382.68 = 242.20/x
  3. Step 3: Cross multiply
    276.60x = 382.68 × 242.20
  4. Step 4: Simplify right side
    276.60x = 92,685.10
  5. Step 5: Solve for x
    x = 92,685.10/276.60
  6. Step 6: Final answer
    x = 335.09

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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.