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Finding the Fourth Proportional to 268, 401.86 and 113.76

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Solution

The fourth proportional to 268, 401.86 and 113.76 is: 170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268 : 401.86 = 113.76 : x
  2. Step 2: Convert to fraction form
    268/401.86 = 113.76/x
  3. Step 3: Cross multiply
    268x = 401.86 × 113.76
  4. Step 4: Simplify right side
    268x = 45,715.59
  5. Step 5: Solve for x
    x = 45,715.59/268
  6. Step 6: Final answer
    x = 170.58

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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.