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Finding the Fourth Proportional to 276.27, 412.44 and 252.58

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Solution

The fourth proportional to 276.27, 412.44 and 252.58 is: 377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.27 : 412.44 = 252.58 : x
  2. Step 2: Convert to fraction form
    276.27/412.44 = 252.58/x
  3. Step 3: Cross multiply
    276.27x = 412.44 × 252.58
  4. Step 4: Simplify right side
    276.27x = 104,174.10
  5. Step 5: Solve for x
    x = 104,174.10/276.27
  6. Step 6: Final answer
    x = 377.07

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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.