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Finding the Fourth Proportional to 202.28, 301.95 and 188.75

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Solution

The fourth proportional to 202.28, 301.95 and 188.75 is: 281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.28 : 301.95 = 188.75 : x
  2. Step 2: Convert to fraction form
    202.28/301.95 = 188.75/x
  3. Step 3: Cross multiply
    202.28x = 301.95 × 188.75
  4. Step 4: Simplify right side
    202.28x = 56,993.82
  5. Step 5: Solve for x
    x = 56,993.82/202.28
  6. Step 6: Final answer
    x = 281.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.