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Finding the Fourth Proportional to 75.01, 103.38 and 50.38

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Solution

The fourth proportional to 75.01, 103.38 and 50.38 is: 69.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.01 : 103.38 = 50.38 : x
  2. Step 2: Convert to fraction form
    75.01/103.38 = 50.38/x
  3. Step 3: Cross multiply
    75.01x = 103.38 × 50.38
  4. Step 4: Simplify right side
    75.01x = 5,208.28
  5. Step 5: Solve for x
    x = 5,208.28/75.01
  6. Step 6: Final answer
    x = 69.43

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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.