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Finding the Fourth Proportional to 74.05, 111.15 and 73.78

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Solution

The fourth proportional to 74.05, 111.15 and 73.78 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.05 : 111.15 = 73.78 : x
  2. Step 2: Convert to fraction form
    74.05/111.15 = 73.78/x
  3. Step 3: Cross multiply
    74.05x = 111.15 × 73.78
  4. Step 4: Simplify right side
    74.05x = 8,200.65
  5. Step 5: Solve for x
    x = 8,200.65/74.05
  6. Step 6: Final answer
    x = 110.74

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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.