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Finding the Fourth Proportional to 268.39, 401.86 and 139.87

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Solution

The fourth proportional to 268.39, 401.86 and 139.87 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.39 : 401.86 = 139.87 : x
  2. Step 2: Convert to fraction form
    268.39/401.86 = 139.87/x
  3. Step 3: Cross multiply
    268.39x = 401.86 × 139.87
  4. Step 4: Simplify right side
    268.39x = 56,206.80
  5. Step 5: Solve for x
    x = 56,206.80/268.39
  6. Step 6: Final answer
    x = 209.42

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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.