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Finding the Fourth Proportional to 201.92, 304.64 and 191.80

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Solution

The fourth proportional to 201.92, 304.64 and 191.80 is: 289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 304.64 = 191.80 : x
  2. Step 2: Convert to fraction form
    201.92/304.64 = 191.80/x
  3. Step 3: Cross multiply
    201.92x = 304.64 × 191.80
  4. Step 4: Simplify right side
    201.92x = 58,428.43
  5. Step 5: Solve for x
    x = 58,428.43/201.92
  6. Step 6: Final answer
    x = 289.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.