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Finding the Fourth Proportional to 200.23, 275.96 and 134.62

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Solution

The fourth proportional to 200.23, 275.96 and 134.62 is: 185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 275.96 = 134.62 : x
  2. Step 2: Convert to fraction form
    200.23/275.96 = 134.62/x
  3. Step 3: Cross multiply
    200.23x = 275.96 × 134.62
  4. Step 4: Simplify right side
    200.23x = 37,149.38
  5. Step 5: Solve for x
    x = 37,149.38/200.23
  6. Step 6: Final answer
    x = 185.54

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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.