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Finding the Fourth Proportional to 268.44, 402.35 and 131.28

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Solution

The fourth proportional to 268.44, 402.35 and 131.28 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.44 : 402.35 = 131.28 : x
  2. Step 2: Convert to fraction form
    268.44/402.35 = 131.28/x
  3. Step 3: Cross multiply
    268.44x = 402.35 × 131.28
  4. Step 4: Simplify right side
    268.44x = 52,819.85
  5. Step 5: Solve for x
    x = 52,819.85/268.44
  6. Step 6: Final answer
    x = 196.77

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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.