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Finding the Fourth Proportional to 201.29, 299.70 and 192.98

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Solution

The fourth proportional to 201.29, 299.70 and 192.98 is: 287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.29 : 299.70 = 192.98 : x
  2. Step 2: Convert to fraction form
    201.29/299.70 = 192.98/x
  3. Step 3: Cross multiply
    201.29x = 299.70 × 192.98
  4. Step 4: Simplify right side
    201.29x = 57,836.86
  5. Step 5: Solve for x
    x = 57,836.86/201.29
  6. Step 6: Final answer
    x = 287.34

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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.