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Finding the Fourth Proportional to 201.72, 302.72 and 79.97

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Solution

The fourth proportional to 201.72, 302.72 and 79.97 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 302.72 = 79.97 : x
  2. Step 2: Convert to fraction form
    201.72/302.72 = 79.97/x
  3. Step 3: Cross multiply
    201.72x = 302.72 × 79.97
  4. Step 4: Simplify right side
    201.72x = 24,208.52
  5. Step 5: Solve for x
    x = 24,208.52/201.72
  6. Step 6: Final answer
    x = 120.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.