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Finding the Fourth Proportional to 74.09, 101.51 and 73.38

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Solution

The fourth proportional to 74.09, 101.51 and 73.38 is: 100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 101.51 = 73.38 : x
  2. Step 2: Convert to fraction form
    74.09/101.51 = 73.38/x
  3. Step 3: Cross multiply
    74.09x = 101.51 × 73.38
  4. Step 4: Simplify right side
    74.09x = 7,449.09
  5. Step 5: Solve for x
    x = 7,449.09/74.09
  6. Step 6: Final answer
    x = 100.54

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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.