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Finding the Fourth Proportional to 263.78, 363.97 and 153.25

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Solution

The fourth proportional to 263.78, 363.97 and 153.25 is: 211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 363.97 = 153.25 : x
  2. Step 2: Convert to fraction form
    263.78/363.97 = 153.25/x
  3. Step 3: Cross multiply
    263.78x = 363.97 × 153.25
  4. Step 4: Simplify right side
    263.78x = 55,778.40
  5. Step 5: Solve for x
    x = 55,778.40/263.78
  6. Step 6: Final answer
    x = 211.46

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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.