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Finding the Fourth Proportional to 74.97, 103.23 and 70.92

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Solution

The fourth proportional to 74.97, 103.23 and 70.92 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.97 : 103.23 = 70.92 : x
  2. Step 2: Convert to fraction form
    74.97/103.23 = 70.92/x
  3. Step 3: Cross multiply
    74.97x = 103.23 × 70.92
  4. Step 4: Simplify right side
    74.97x = 7,321.07
  5. Step 5: Solve for x
    x = 7,321.07/74.97
  6. Step 6: Final answer
    x = 97.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.