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Finding the Fourth Proportional to 200, 275.68 and 141.92

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Solution

The fourth proportional to 200, 275.68 and 141.92 is: 195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 275.68 = 141.92 : x
  2. Step 2: Convert to fraction form
    200/275.68 = 141.92/x
  3. Step 3: Cross multiply
    200x = 275.68 × 141.92
  4. Step 4: Simplify right side
    200x = 39,124.51
  5. Step 5: Solve for x
    x = 39,124.51/200
  6. Step 6: Final answer
    x = 195.62

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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.