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Finding the Fourth Proportional to 203.72, 307.11 and 190.33

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Solution

The fourth proportional to 203.72, 307.11 and 190.33 is: 286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.72 : 307.11 = 190.33 : x
  2. Step 2: Convert to fraction form
    203.72/307.11 = 190.33/x
  3. Step 3: Cross multiply
    203.72x = 307.11 × 190.33
  4. Step 4: Simplify right side
    203.72x = 58,452.25
  5. Step 5: Solve for x
    x = 58,452.25/203.72
  6. Step 6: Final answer
    x = 286.92

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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.