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Finding the Fourth Proportional to 180.12, 268.82 and 149.45

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Solution

The fourth proportional to 180.12, 268.82 and 149.45 is: 223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 268.82 = 149.45 : x
  2. Step 2: Convert to fraction form
    180.12/268.82 = 149.45/x
  3. Step 3: Cross multiply
    180.12x = 268.82 × 149.45
  4. Step 4: Simplify right side
    180.12x = 40,173.62
  5. Step 5: Solve for x
    x = 40,173.62/180.12
  6. Step 6: Final answer
    x = 223.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.