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Finding the Fourth Proportional to 194.78, 268.86 and 153.26

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Solution

The fourth proportional to 194.78, 268.86 and 153.26 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.78 : 268.86 = 153.26 : x
  2. Step 2: Convert to fraction form
    194.78/268.86 = 153.26/x
  3. Step 3: Cross multiply
    194.78x = 268.86 × 153.26
  4. Step 4: Simplify right side
    194.78x = 41,205.48
  5. Step 5: Solve for x
    x = 41,205.48/194.78
  6. Step 6: Final answer
    x = 211.55

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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.