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Finding the Fourth Proportional to 276.16, 411.77 and 268.60

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Solution

The fourth proportional to 276.16, 411.77 and 268.60 is: 400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.16 : 411.77 = 268.60 : x
  2. Step 2: Convert to fraction form
    276.16/411.77 = 268.60/x
  3. Step 3: Cross multiply
    276.16x = 411.77 × 268.60
  4. Step 4: Simplify right side
    276.16x = 110,601.42
  5. Step 5: Solve for x
    x = 110,601.42/276.16
  6. Step 6: Final answer
    x = 400.50

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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.