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Finding the Fourth Proportional to 201.52, 300.56 and 194.32

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Solution

The fourth proportional to 201.52, 300.56 and 194.32 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 300.56 = 194.32 : x
  2. Step 2: Convert to fraction form
    201.52/300.56 = 194.32/x
  3. Step 3: Cross multiply
    201.52x = 300.56 × 194.32
  4. Step 4: Simplify right side
    201.52x = 58,404.82
  5. Step 5: Solve for x
    x = 58,404.82/201.52
  6. Step 6: Final answer
    x = 289.82

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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.