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Finding the Fourth Proportional to 163.95, 225.78 and 153.53

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Solution

The fourth proportional to 163.95, 225.78 and 153.53 is: 211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.95 : 225.78 = 153.53 : x
  2. Step 2: Convert to fraction form
    163.95/225.78 = 153.53/x
  3. Step 3: Cross multiply
    163.95x = 225.78 × 153.53
  4. Step 4: Simplify right side
    163.95x = 34,663.26
  5. Step 5: Solve for x
    x = 34,663.26/163.95
  6. Step 6: Final answer
    x = 211.42

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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.