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Finding the Fourth Proportional to 276.48, 411.84 and 270.18

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Solution

The fourth proportional to 276.48, 411.84 and 270.18 is: 402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 411.84 = 270.18 : x
  2. Step 2: Convert to fraction form
    276.48/411.84 = 270.18/x
  3. Step 3: Cross multiply
    276.48x = 411.84 × 270.18
  4. Step 4: Simplify right side
    276.48x = 111,270.93
  5. Step 5: Solve for x
    x = 111,270.93/276.48
  6. Step 6: Final answer
    x = 402.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.