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Finding the Fourth Proportional to 73.70, 110.56 and 22.34

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Solution

The fourth proportional to 73.70, 110.56 and 22.34 is: 33.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.70 : 110.56 = 22.34 : x
  2. Step 2: Convert to fraction form
    73.70/110.56 = 22.34/x
  3. Step 3: Cross multiply
    73.70x = 110.56 × 22.34
  4. Step 4: Simplify right side
    73.70x = 2,469.91
  5. Step 5: Solve for x
    x = 2,469.91/73.70
  6. Step 6: Final answer
    x = 33.52

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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.