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Finding the Fourth Proportional to 75.38, 103.93 and 74.36

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Solution

The fourth proportional to 75.38, 103.93 and 74.36 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 103.93 = 74.36 : x
  2. Step 2: Convert to fraction form
    75.38/103.93 = 74.36/x
  3. Step 3: Cross multiply
    75.38x = 103.93 × 74.36
  4. Step 4: Simplify right side
    75.38x = 7,728.05
  5. Step 5: Solve for x
    x = 7,728.05/75.38
  6. Step 6: Final answer
    x = 102.52

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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.