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Finding the Fourth Proportional to 322.68, 446.01 and 319.86

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Solution

The fourth proportional to 322.68, 446.01 and 319.86 is: 442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.68 : 446.01 = 319.86 : x
  2. Step 2: Convert to fraction form
    322.68/446.01 = 319.86/x
  3. Step 3: Cross multiply
    322.68x = 446.01 × 319.86
  4. Step 4: Simplify right side
    322.68x = 142,660.76
  5. Step 5: Solve for x
    x = 142,660.76/322.68
  6. Step 6: Final answer
    x = 442.11

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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.