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Finding the Fourth Proportional to 203.36, 278.90 and 181.46

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Solution

The fourth proportional to 203.36, 278.90 and 181.46 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.36 : 278.90 = 181.46 : x
  2. Step 2: Convert to fraction form
    203.36/278.90 = 181.46/x
  3. Step 3: Cross multiply
    203.36x = 278.90 × 181.46
  4. Step 4: Simplify right side
    203.36x = 50,609.19
  5. Step 5: Solve for x
    x = 50,609.19/203.36
  6. Step 6: Final answer
    x = 248.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.