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Finding the Fourth Proportional to 276.24, 416.46 and 246.18

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Solution

The fourth proportional to 276.24, 416.46 and 246.18 is: 371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 416.46 = 246.18 : x
  2. Step 2: Convert to fraction form
    276.24/416.46 = 246.18/x
  3. Step 3: Cross multiply
    276.24x = 416.46 × 246.18
  4. Step 4: Simplify right side
    276.24x = 102,524.12
  5. Step 5: Solve for x
    x = 102,524.12/276.24
  6. Step 6: Final answer
    x = 371.14

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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.