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Finding the Fourth Proportional to 203.43, 303.36 and 181.30

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Solution

The fourth proportional to 203.43, 303.36 and 181.30 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.43 : 303.36 = 181.30 : x
  2. Step 2: Convert to fraction form
    203.43/303.36 = 181.30/x
  3. Step 3: Cross multiply
    203.43x = 303.36 × 181.30
  4. Step 4: Simplify right side
    203.43x = 54,999.17
  5. Step 5: Solve for x
    x = 54,999.17/203.43
  6. Step 6: Final answer
    x = 270.36

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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.