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Finding the Fourth Proportional to 220.95, 331.10 and 186.63

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Solution

The fourth proportional to 220.95, 331.10 and 186.63 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.95 : 331.10 = 186.63 : x
  2. Step 2: Convert to fraction form
    220.95/331.10 = 186.63/x
  3. Step 3: Cross multiply
    220.95x = 331.10 × 186.63
  4. Step 4: Simplify right side
    220.95x = 61,793.19
  5. Step 5: Solve for x
    x = 61,793.19/220.95
  6. Step 6: Final answer
    x = 279.67

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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.