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Finding the Fourth Proportional to 322.02, 443.48 and 277.40

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Solution

The fourth proportional to 322.02, 443.48 and 277.40 is: 382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 443.48 = 277.40 : x
  2. Step 2: Convert to fraction form
    322.02/443.48 = 277.40/x
  3. Step 3: Cross multiply
    322.02x = 443.48 × 277.40
  4. Step 4: Simplify right side
    322.02x = 123,021.07
  5. Step 5: Solve for x
    x = 123,021.07/322.02
  6. Step 6: Final answer
    x = 382.03

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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.