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Finding the Fourth Proportional to 201.62, 278.13 and 127.81

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Solution

The fourth proportional to 201.62, 278.13 and 127.81 is: 176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.62 : 278.13 = 127.81 : x
  2. Step 2: Convert to fraction form
    201.62/278.13 = 127.81/x
  3. Step 3: Cross multiply
    201.62x = 278.13 × 127.81
  4. Step 4: Simplify right side
    201.62x = 35,548.62
  5. Step 5: Solve for x
    x = 35,548.62/201.62
  6. Step 6: Final answer
    x = 176.31

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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.