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Finding the Fourth Proportional to 200.22, 275.71 and 195.68

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Solution

The fourth proportional to 200.22, 275.71 and 195.68 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 275.71 = 195.68 : x
  2. Step 2: Convert to fraction form
    200.22/275.71 = 195.68/x
  3. Step 3: Cross multiply
    200.22x = 275.71 × 195.68
  4. Step 4: Simplify right side
    200.22x = 53,949.07
  5. Step 5: Solve for x
    x = 53,949.07/200.22
  6. Step 6: Final answer
    x = 269.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.