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Finding the Fourth Proportional to 201.76, 278.56 and 127.10

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Solution

The fourth proportional to 201.76, 278.56 and 127.10 is: 175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 278.56 = 127.10 : x
  2. Step 2: Convert to fraction form
    201.76/278.56 = 127.10/x
  3. Step 3: Cross multiply
    201.76x = 278.56 × 127.10
  4. Step 4: Simplify right side
    201.76x = 35,404.98
  5. Step 5: Solve for x
    x = 35,404.98/201.76
  6. Step 6: Final answer
    x = 175.48

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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.