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Finding the Fourth Proportional to 202.72, 305.60 and 189.33

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Solution

The fourth proportional to 202.72, 305.60 and 189.33 is: 285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 305.60 = 189.33 : x
  2. Step 2: Convert to fraction form
    202.72/305.60 = 189.33/x
  3. Step 3: Cross multiply
    202.72x = 305.60 × 189.33
  4. Step 4: Simplify right side
    202.72x = 57,859.25
  5. Step 5: Solve for x
    x = 57,859.25/202.72
  6. Step 6: Final answer
    x = 285.41

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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.