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Finding the Fourth Proportional to 276.21, 411.98 and 232.37

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Solution

The fourth proportional to 276.21, 411.98 and 232.37 is: 346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 411.98 = 232.37 : x
  2. Step 2: Convert to fraction form
    276.21/411.98 = 232.37/x
  3. Step 3: Cross multiply
    276.21x = 411.98 × 232.37
  4. Step 4: Simplify right side
    276.21x = 95,728.57
  5. Step 5: Solve for x
    x = 95,728.57/276.21
  6. Step 6: Final answer
    x = 346.58

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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.