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Finding the Fourth Proportional to 322.14, 444.56 and 174.78

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Solution

The fourth proportional to 322.14, 444.56 and 174.78 is: 241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 444.56 = 174.78 : x
  2. Step 2: Convert to fraction form
    322.14/444.56 = 174.78/x
  3. Step 3: Cross multiply
    322.14x = 444.56 × 174.78
  4. Step 4: Simplify right side
    322.14x = 77,700.20
  5. Step 5: Solve for x
    x = 77,700.20/322.14
  6. Step 6: Final answer
    x = 241.20

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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.