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Finding the Fourth Proportional to 201.39, 278.12 and 172.11

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Solution

The fourth proportional to 201.39, 278.12 and 172.11 is: 237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.39 : 278.12 = 172.11 : x
  2. Step 2: Convert to fraction form
    201.39/278.12 = 172.11/x
  3. Step 3: Cross multiply
    201.39x = 278.12 × 172.11
  4. Step 4: Simplify right side
    201.39x = 47,866.37
  5. Step 5: Solve for x
    x = 47,866.37/201.39
  6. Step 6: Final answer
    x = 237.68

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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.