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Finding the Fourth Proportional to 163.78, 226 and 90.09

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Solution

The fourth proportional to 163.78, 226 and 90.09 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 226 = 90.09 : x
  2. Step 2: Convert to fraction form
    163.78/226 = 90.09/x
  3. Step 3: Cross multiply
    163.78x = 226 × 90.09
  4. Step 4: Simplify right side
    163.78x = 20,360.34
  5. Step 5: Solve for x
    x = 20,360.34/163.78
  6. Step 6: Final answer
    x = 124.32

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1.5x scale

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.