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Finding the Fourth Proportional to 268.01, 401.05 and 181.44

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Solution

The fourth proportional to 268.01, 401.05 and 181.44 is: 271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.01 : 401.05 = 181.44 : x
  2. Step 2: Convert to fraction form
    268.01/401.05 = 181.44/x
  3. Step 3: Cross multiply
    268.01x = 401.05 × 181.44
  4. Step 4: Simplify right side
    268.01x = 72,766.74
  5. Step 5: Solve for x
    x = 72,766.74/268.01
  6. Step 6: Final answer
    x = 271.51

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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.