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Finding the Fourth Proportional to 268.97, 403.22 and 145.44

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Solution

The fourth proportional to 268.97, 403.22 and 145.44 is: 218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.97 : 403.22 = 145.44 : x
  2. Step 2: Convert to fraction form
    268.97/403.22 = 145.44/x
  3. Step 3: Cross multiply
    268.97x = 403.22 × 145.44
  4. Step 4: Simplify right side
    268.97x = 58,644.64
  5. Step 5: Solve for x
    x = 58,644.64/268.97
  6. Step 6: Final answer
    x = 218.04

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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.