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Finding the Fourth Proportional to 74.26, 101.84 and 73.45

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Solution

The fourth proportional to 74.26, 101.84 and 73.45 is: 100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.26 : 101.84 = 73.45 : x
  2. Step 2: Convert to fraction form
    74.26/101.84 = 73.45/x
  3. Step 3: Cross multiply
    74.26x = 101.84 × 73.45
  4. Step 4: Simplify right side
    74.26x = 7,480.15
  5. Step 5: Solve for x
    x = 7,480.15/74.26
  6. Step 6: Final answer
    x = 100.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.