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Finding the Fourth Proportional to 74.96, 103.88 and 73.28

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Solution

The fourth proportional to 74.96, 103.88 and 73.28 is: 101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 103.88 = 73.28 : x
  2. Step 2: Convert to fraction form
    74.96/103.88 = 73.28/x
  3. Step 3: Cross multiply
    74.96x = 103.88 × 73.28
  4. Step 4: Simplify right side
    74.96x = 7,612.33
  5. Step 5: Solve for x
    x = 7,612.33/74.96
  6. Step 6: Final answer
    x = 101.55

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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.