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Finding the Fourth Proportional to 276.04, 411.32 and 262.94

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Solution

The fourth proportional to 276.04, 411.32 and 262.94 is: 391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.04 : 411.32 = 262.94 : x
  2. Step 2: Convert to fraction form
    276.04/411.32 = 262.94/x
  3. Step 3: Cross multiply
    276.04x = 411.32 × 262.94
  4. Step 4: Simplify right side
    276.04x = 108,152.48
  5. Step 5: Solve for x
    x = 108,152.48/276.04
  6. Step 6: Final answer
    x = 391.80

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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.