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Finding the Fourth Proportional to 201.61, 300.81 and 172.39

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Solution

The fourth proportional to 201.61, 300.81 and 172.39 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.61 : 300.81 = 172.39 : x
  2. Step 2: Convert to fraction form
    201.61/300.81 = 172.39/x
  3. Step 3: Cross multiply
    201.61x = 300.81 × 172.39
  4. Step 4: Simplify right side
    201.61x = 51,856.64
  5. Step 5: Solve for x
    x = 51,856.64/201.61
  6. Step 6: Final answer
    x = 257.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.