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Finding the Fourth Proportional to 203.87, 305.46 and 173.12

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Solution

The fourth proportional to 203.87, 305.46 and 173.12 is: 259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.87 : 305.46 = 173.12 : x
  2. Step 2: Convert to fraction form
    203.87/305.46 = 173.12/x
  3. Step 3: Cross multiply
    203.87x = 305.46 × 173.12
  4. Step 4: Simplify right side
    203.87x = 52,879.71
  5. Step 5: Solve for x
    x = 52,879.71/203.87
  6. Step 6: Final answer
    x = 259.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.