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Finding the Fourth Proportional to 109.77, 163.81 and 90.33

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Solution

The fourth proportional to 109.77, 163.81 and 90.33 is: 134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.77 : 163.81 = 90.33 : x
  2. Step 2: Convert to fraction form
    109.77/163.81 = 90.33/x
  3. Step 3: Cross multiply
    109.77x = 163.81 × 90.33
  4. Step 4: Simplify right side
    109.77x = 14,796.96
  5. Step 5: Solve for x
    x = 14,796.96/109.77
  6. Step 6: Final answer
    x = 134.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.