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Finding the Fourth Proportional to 74.89, 104.04 and 74.15

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Solution

The fourth proportional to 74.89, 104.04 and 74.15 is: 103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.89 : 104.04 = 74.15 : x
  2. Step 2: Convert to fraction form
    74.89/104.04 = 74.15/x
  3. Step 3: Cross multiply
    74.89x = 104.04 × 74.15
  4. Step 4: Simplify right side
    74.89x = 7,713.68
  5. Step 5: Solve for x
    x = 7,713.68/74.89
  6. Step 6: Final answer
    x = 103.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.