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Finding the Fourth Proportional to 268.45, 401.80 and 144.88

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Solution

The fourth proportional to 268.45, 401.80 and 144.88 is: 216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.45 : 401.80 = 144.88 : x
  2. Step 2: Convert to fraction form
    268.45/401.80 = 144.88/x
  3. Step 3: Cross multiply
    268.45x = 401.80 × 144.88
  4. Step 4: Simplify right side
    268.45x = 58,211.96
  5. Step 5: Solve for x
    x = 58,211.96/268.45
  6. Step 6: Final answer
    x = 216.85

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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.