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Finding the Fourth Proportional to 116.09, 174.76 and 89.16

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Solution

The fourth proportional to 116.09, 174.76 and 89.16 is: 134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.09 : 174.76 = 89.16 : x
  2. Step 2: Convert to fraction form
    116.09/174.76 = 89.16/x
  3. Step 3: Cross multiply
    116.09x = 174.76 × 89.16
  4. Step 4: Simplify right side
    116.09x = 15,581.60
  5. Step 5: Solve for x
    x = 15,581.60/116.09
  6. Step 6: Final answer
    x = 134.22

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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.