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Finding the Fourth Proportional to 200.15, 301.26 and 181.28

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Solution

The fourth proportional to 200.15, 301.26 and 181.28 is: 272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.15 : 301.26 = 181.28 : x
  2. Step 2: Convert to fraction form
    200.15/301.26 = 181.28/x
  3. Step 3: Cross multiply
    200.15x = 301.26 × 181.28
  4. Step 4: Simplify right side
    200.15x = 54,610.91
  5. Step 5: Solve for x
    x = 54,610.91/200.15
  6. Step 6: Final answer
    x = 272.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.