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Finding the Fourth Proportional to 222.46, 306.71 and 178.31

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Solution

The fourth proportional to 222.46, 306.71 and 178.31 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.46 : 306.71 = 178.31 : x
  2. Step 2: Convert to fraction form
    222.46/306.71 = 178.31/x
  3. Step 3: Cross multiply
    222.46x = 306.71 × 178.31
  4. Step 4: Simplify right side
    222.46x = 54,689.46
  5. Step 5: Solve for x
    x = 54,689.46/222.46
  6. Step 6: Final answer
    x = 245.84

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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.