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Finding the Fourth Proportional to 109.80, 151.32 and 82.11

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Solution

The fourth proportional to 109.80, 151.32 and 82.11 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 151.32 = 82.11 : x
  2. Step 2: Convert to fraction form
    109.80/151.32 = 82.11/x
  3. Step 3: Cross multiply
    109.80x = 151.32 × 82.11
  4. Step 4: Simplify right side
    109.80x = 12,424.89
  5. Step 5: Solve for x
    x = 12,424.89/109.80
  6. Step 6: Final answer
    x = 113.16

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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.