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Finding the Fourth Proportional to 200.08, 273.57 and 192.52

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Solution

The fourth proportional to 200.08, 273.57 and 192.52 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.08 : 273.57 = 192.52 : x
  2. Step 2: Convert to fraction form
    200.08/273.57 = 192.52/x
  3. Step 3: Cross multiply
    200.08x = 273.57 × 192.52
  4. Step 4: Simplify right side
    200.08x = 52,667.70
  5. Step 5: Solve for x
    x = 52,667.70/200.08
  6. Step 6: Final answer
    x = 263.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.