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Finding the Fourth Proportional to 222.91, 334.36 and 78.63

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Solution

The fourth proportional to 222.91, 334.36 and 78.63 is: 117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.91 : 334.36 = 78.63 : x
  2. Step 2: Convert to fraction form
    222.91/334.36 = 78.63/x
  3. Step 3: Cross multiply
    222.91x = 334.36 × 78.63
  4. Step 4: Simplify right side
    222.91x = 26,290.73
  5. Step 5: Solve for x
    x = 26,290.73/222.91
  6. Step 6: Final answer
    x = 117.94

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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.