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Finding the Fourth Proportional to 201.69, 304.05 and 195.31

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Solution

The fourth proportional to 201.69, 304.05 and 195.31 is: 294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 304.05 = 195.31 : x
  2. Step 2: Convert to fraction form
    201.69/304.05 = 195.31/x
  3. Step 3: Cross multiply
    201.69x = 304.05 × 195.31
  4. Step 4: Simplify right side
    201.69x = 59,385.12
  5. Step 5: Solve for x
    x = 59,385.12/201.69
  6. Step 6: Final answer
    x = 294.44

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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.