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Finding the Fourth Proportional to 220.84, 331.08 and 178

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Solution

The fourth proportional to 220.84, 331.08 and 178 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.84 : 331.08 = 178 : x
  2. Step 2: Convert to fraction form
    220.84/331.08 = 178/x
  3. Step 3: Cross multiply
    220.84x = 331.08 × 178
  4. Step 4: Simplify right side
    220.84x = 58,932.24
  5. Step 5: Solve for x
    x = 58,932.24/220.84
  6. Step 6: Final answer
    x = 266.85

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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.