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Finding the Fourth Proportional to 201.72, 277.38 and 172.56

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Solution

The fourth proportional to 201.72, 277.38 and 172.56 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 277.38 = 172.56 : x
  2. Step 2: Convert to fraction form
    201.72/277.38 = 172.56/x
  3. Step 3: Cross multiply
    201.72x = 277.38 × 172.56
  4. Step 4: Simplify right side
    201.72x = 47,864.69
  5. Step 5: Solve for x
    x = 47,864.69/201.72
  6. Step 6: Final answer
    x = 237.28

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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.