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Finding the Fourth Proportional to 268.16, 401.91 and 138.08

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Solution

The fourth proportional to 268.16, 401.91 and 138.08 is: 206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.16 : 401.91 = 138.08 : x
  2. Step 2: Convert to fraction form
    268.16/401.91 = 138.08/x
  3. Step 3: Cross multiply
    268.16x = 401.91 × 138.08
  4. Step 4: Simplify right side
    268.16x = 55,493.72
  5. Step 5: Solve for x
    x = 55,493.72/268.16
  6. Step 6: Final answer
    x = 206.95

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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.