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Finding the Fourth Proportional to 322.19, 446.49 and 316.03

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Solution

The fourth proportional to 322.19, 446.49 and 316.03 is: 437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.19 : 446.49 = 316.03 : x
  2. Step 2: Convert to fraction form
    322.19/446.49 = 316.03/x
  3. Step 3: Cross multiply
    322.19x = 446.49 × 316.03
  4. Step 4: Simplify right side
    322.19x = 141,102.65
  5. Step 5: Solve for x
    x = 141,102.65/322.19
  6. Step 6: Final answer
    x = 437.96

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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.