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Finding the Fourth Proportional to 322.12, 483.22 and 116.78

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Solution

The fourth proportional to 322.12, 483.22 and 116.78 is: 175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 483.22 = 116.78 : x
  2. Step 2: Convert to fraction form
    322.12/483.22 = 116.78/x
  3. Step 3: Cross multiply
    322.12x = 483.22 × 116.78
  4. Step 4: Simplify right side
    322.12x = 56,430.43
  5. Step 5: Solve for x
    x = 56,430.43/322.12
  6. Step 6: Final answer
    x = 175.18

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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.