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Finding the Fourth Proportional to 116.09, 174.85 and 89.22

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Solution

The fourth proportional to 116.09, 174.85 and 89.22 is: 134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.09 : 174.85 = 89.22 : x
  2. Step 2: Convert to fraction form
    116.09/174.85 = 89.22/x
  3. Step 3: Cross multiply
    116.09x = 174.85 × 89.22
  4. Step 4: Simplify right side
    116.09x = 15,600.12
  5. Step 5: Solve for x
    x = 15,600.12/116.09
  6. Step 6: Final answer
    x = 134.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.