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Finding the Fourth Proportional to 203.07, 280.12 and 125.31

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Solution

The fourth proportional to 203.07, 280.12 and 125.31 is: 172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.07 : 280.12 = 125.31 : x
  2. Step 2: Convert to fraction form
    203.07/280.12 = 125.31/x
  3. Step 3: Cross multiply
    203.07x = 280.12 × 125.31
  4. Step 4: Simplify right side
    203.07x = 35,101.84
  5. Step 5: Solve for x
    x = 35,101.84/203.07
  6. Step 6: Final answer
    x = 172.86

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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.