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Finding the Fourth Proportional to 268.08, 369.74 and 169.74

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Solution

The fourth proportional to 268.08, 369.74 and 169.74 is: 234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.08 : 369.74 = 169.74 : x
  2. Step 2: Convert to fraction form
    268.08/369.74 = 169.74/x
  3. Step 3: Cross multiply
    268.08x = 369.74 × 169.74
  4. Step 4: Simplify right side
    268.08x = 62,759.67
  5. Step 5: Solve for x
    x = 62,759.67/268.08
  6. Step 6: Final answer
    x = 234.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.