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Finding the Fourth Proportional to 203.50, 303.83 and 173.08

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Solution

The fourth proportional to 203.50, 303.83 and 173.08 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 303.83 = 173.08 : x
  2. Step 2: Convert to fraction form
    203.50/303.83 = 173.08/x
  3. Step 3: Cross multiply
    203.50x = 303.83 × 173.08
  4. Step 4: Simplify right side
    203.50x = 52,586.90
  5. Step 5: Solve for x
    x = 52,586.90/203.50
  6. Step 6: Final answer
    x = 258.41

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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.