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Finding the Fourth Proportional to 322.79, 443.74 and 277.76

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Solution

The fourth proportional to 322.79, 443.74 and 277.76 is: 381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 443.74 = 277.76 : x
  2. Step 2: Convert to fraction form
    322.79/443.74 = 277.76/x
  3. Step 3: Cross multiply
    322.79x = 443.74 × 277.76
  4. Step 4: Simplify right side
    322.79x = 123,252.94
  5. Step 5: Solve for x
    x = 123,252.94/322.79
  6. Step 6: Final answer
    x = 381.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.