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Finding the Fourth Proportional to 322.90, 447.48 and 316.75

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Solution

The fourth proportional to 322.90, 447.48 and 316.75 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 447.48 = 316.75 : x
  2. Step 2: Convert to fraction form
    322.90/447.48 = 316.75/x
  3. Step 3: Cross multiply
    322.90x = 447.48 × 316.75
  4. Step 4: Simplify right side
    322.90x = 141,739.36
  5. Step 5: Solve for x
    x = 141,739.36/322.90
  6. Step 6: Final answer
    x = 438.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.