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Finding the Fourth Proportional to 202.94, 280.09 and 125.31

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Solution

The fourth proportional to 202.94, 280.09 and 125.31 is: 172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 280.09 = 125.31 : x
  2. Step 2: Convert to fraction form
    202.94/280.09 = 125.31/x
  3. Step 3: Cross multiply
    202.94x = 280.09 × 125.31
  4. Step 4: Simplify right side
    202.94x = 35,098.08
  5. Step 5: Solve for x
    x = 35,098.08/202.94
  6. Step 6: Final answer
    x = 172.95

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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.