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Finding the Fourth Proportional to 276.76, 381.95 and 233.02

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Solution

The fourth proportional to 276.76, 381.95 and 233.02 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.76 : 381.95 = 233.02 : x
  2. Step 2: Convert to fraction form
    276.76/381.95 = 233.02/x
  3. Step 3: Cross multiply
    276.76x = 381.95 × 233.02
  4. Step 4: Simplify right side
    276.76x = 89,001.99
  5. Step 5: Solve for x
    x = 89,001.99/276.76
  6. Step 6: Final answer
    x = 321.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.