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Finding the Fourth Proportional to 222.72, 334.02 and 78.41

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Solution

The fourth proportional to 222.72, 334.02 and 78.41 is: 117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.72 : 334.02 = 78.41 : x
  2. Step 2: Convert to fraction form
    222.72/334.02 = 78.41/x
  3. Step 3: Cross multiply
    222.72x = 334.02 × 78.41
  4. Step 4: Simplify right side
    222.72x = 26,188.45
  5. Step 5: Solve for x
    x = 26,188.45/222.72
  6. Step 6: Final answer
    x = 117.58

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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.