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Finding the Fourth Proportional to 322.48, 443.40 and 275.68

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Solution

The fourth proportional to 322.48, 443.40 and 275.68 is: 379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 443.40 = 275.68 : x
  2. Step 2: Convert to fraction form
    322.48/443.40 = 275.68/x
  3. Step 3: Cross multiply
    322.48x = 443.40 × 275.68
  4. Step 4: Simplify right side
    322.48x = 122,236.51
  5. Step 5: Solve for x
    x = 122,236.51/322.48
  6. Step 6: Final answer
    x = 379.05

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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.