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Finding the Fourth Proportional to 201.74, 301.15 and 186.71

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Solution

The fourth proportional to 201.74, 301.15 and 186.71 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.74 : 301.15 = 186.71 : x
  2. Step 2: Convert to fraction form
    201.74/301.15 = 186.71/x
  3. Step 3: Cross multiply
    201.74x = 301.15 × 186.71
  4. Step 4: Simplify right side
    201.74x = 56,227.72
  5. Step 5: Solve for x
    x = 56,227.72/201.74
  6. Step 6: Final answer
    x = 278.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.