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Finding the Fourth Proportional to 202.97, 280.09 and 137.50

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Solution

The fourth proportional to 202.97, 280.09 and 137.50 is: 189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 280.09 = 137.50 : x
  2. Step 2: Convert to fraction form
    202.97/280.09 = 137.50/x
  3. Step 3: Cross multiply
    202.97x = 280.09 × 137.50
  4. Step 4: Simplify right side
    202.97x = 38,511.85
  5. Step 5: Solve for x
    x = 38,511.85/202.97
  6. Step 6: Final answer
    x = 189.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.