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Finding the Fourth Proportional to 322.35, 483.41 and 149.11

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Solution

The fourth proportional to 322.35, 483.41 and 149.11 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.35 : 483.41 = 149.11 : x
  2. Step 2: Convert to fraction form
    322.35/483.41 = 149.11/x
  3. Step 3: Cross multiply
    322.35x = 483.41 × 149.11
  4. Step 4: Simplify right side
    322.35x = 72,080.52
  5. Step 5: Solve for x
    x = 72,080.52/322.35
  6. Step 6: Final answer
    x = 223.61

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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.