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Finding the Fourth Proportional to 322.61, 483.92 and 226.85

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Solution

The fourth proportional to 322.61, 483.92 and 226.85 is: 340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 483.92 = 226.85 : x
  2. Step 2: Convert to fraction form
    322.61/483.92 = 226.85/x
  3. Step 3: Cross multiply
    322.61x = 483.92 × 226.85
  4. Step 4: Simplify right side
    322.61x = 109,776.12
  5. Step 5: Solve for x
    x = 109,776.12/322.61
  6. Step 6: Final answer
    x = 340.28

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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.