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Finding the Fourth Proportional to 201.69, 303.21 and 171.32

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Solution

The fourth proportional to 201.69, 303.21 and 171.32 is: 257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 303.21 = 171.32 : x
  2. Step 2: Convert to fraction form
    201.69/303.21 = 171.32/x
  3. Step 3: Cross multiply
    201.69x = 303.21 × 171.32
  4. Step 4: Simplify right side
    201.69x = 51,944.42
  5. Step 5: Solve for x
    x = 51,944.42/201.69
  6. Step 6: Final answer
    x = 257.55

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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.