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Finding the Fourth Proportional to 322.61, 483.92 and 79.14

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Solution

The fourth proportional to 322.61, 483.92 and 79.14 is: 118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 483.92 = 79.14 : x
  2. Step 2: Convert to fraction form
    322.61/483.92 = 79.14/x
  3. Step 3: Cross multiply
    322.61x = 483.92 × 79.14
  4. Step 4: Simplify right side
    322.61x = 38,297.43
  5. Step 5: Solve for x
    x = 38,297.43/322.61
  6. Step 6: Final answer
    x = 118.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.