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Finding the Fourth Proportional to 201.56, 278.08 and 136.10

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Solution

The fourth proportional to 201.56, 278.08 and 136.10 is: 187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.56 : 278.08 = 136.10 : x
  2. Step 2: Convert to fraction form
    201.56/278.08 = 136.10/x
  3. Step 3: Cross multiply
    201.56x = 278.08 × 136.10
  4. Step 4: Simplify right side
    201.56x = 37,846.24
  5. Step 5: Solve for x
    x = 37,846.24/201.56
  6. Step 6: Final answer
    x = 187.77

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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.