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Finding the Fourth Proportional to 74.80, 103.44 and 68.86

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Solution

The fourth proportional to 74.80, 103.44 and 68.86 is: 95.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.80 : 103.44 = 68.86 : x
  2. Step 2: Convert to fraction form
    74.80/103.44 = 68.86/x
  3. Step 3: Cross multiply
    74.80x = 103.44 × 68.86
  4. Step 4: Simplify right side
    74.80x = 7,122.88
  5. Step 5: Solve for x
    x = 7,122.88/74.80
  6. Step 6: Final answer
    x = 95.23

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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.