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Finding the Fourth Proportional to 220.67, 331.19 and 186.50

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Solution

The fourth proportional to 220.67, 331.19 and 186.50 is: 279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.67 : 331.19 = 186.50 : x
  2. Step 2: Convert to fraction form
    220.67/331.19 = 186.50/x
  3. Step 3: Cross multiply
    220.67x = 331.19 × 186.50
  4. Step 4: Simplify right side
    220.67x = 61,767.53
  5. Step 5: Solve for x
    x = 61,767.53/220.67
  6. Step 6: Final answer
    x = 279.90

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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.