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Finding the Fourth Proportional to 322.02, 443.98 and 247.42

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Solution

The fourth proportional to 322.02, 443.98 and 247.42 is: 341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 443.98 = 247.42 : x
  2. Step 2: Convert to fraction form
    322.02/443.98 = 247.42/x
  3. Step 3: Cross multiply
    322.02x = 443.98 × 247.42
  4. Step 4: Simplify right side
    322.02x = 109,849.53
  5. Step 5: Solve for x
    x = 109,849.53/322.02
  6. Step 6: Final answer
    x = 341.13

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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.