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Finding the Fourth Proportional to 74.94, 103.14 and 74.70

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Solution

The fourth proportional to 74.94, 103.14 and 74.70 is: 102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 103.14 = 74.70 : x
  2. Step 2: Convert to fraction form
    74.94/103.14 = 74.70/x
  3. Step 3: Cross multiply
    74.94x = 103.14 × 74.70
  4. Step 4: Simplify right side
    74.94x = 7,704.56
  5. Step 5: Solve for x
    x = 7,704.56/74.94
  6. Step 6: Final answer
    x = 102.81

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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.