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Finding the Fourth Proportional to 73.72, 101.74 and 40.97

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Solution

The fourth proportional to 73.72, 101.74 and 40.97 is: 56.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.72 : 101.74 = 40.97 : x
  2. Step 2: Convert to fraction form
    73.72/101.74 = 40.97/x
  3. Step 3: Cross multiply
    73.72x = 101.74 × 40.97
  4. Step 4: Simplify right side
    73.72x = 4,168.64
  5. Step 5: Solve for x
    x = 4,168.64/73.72
  6. Step 6: Final answer
    x = 56.54

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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.