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Finding the Fourth Proportional to 321.93, 443.10 and 275.14

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Solution

The fourth proportional to 321.93, 443.10 and 275.14 is: 378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.93 : 443.10 = 275.14 : x
  2. Step 2: Convert to fraction form
    321.93/443.10 = 275.14/x
  3. Step 3: Cross multiply
    321.93x = 443.10 × 275.14
  4. Step 4: Simplify right side
    321.93x = 121,914.53
  5. Step 5: Solve for x
    x = 121,914.53/321.93
  6. Step 6: Final answer
    x = 378.70

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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.