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Finding the Fourth Proportional to 201.33, 300.74 and 172.31

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Solution

The fourth proportional to 201.33, 300.74 and 172.31 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.33 : 300.74 = 172.31 : x
  2. Step 2: Convert to fraction form
    201.33/300.74 = 172.31/x
  3. Step 3: Cross multiply
    201.33x = 300.74 × 172.31
  4. Step 4: Simplify right side
    201.33x = 51,818.14
  5. Step 5: Solve for x
    x = 51,818.14/201.33
  6. Step 6: Final answer
    x = 257.38

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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.