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Finding the Fourth Proportional to 108.59, 163.07 and 89.33

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Solution

The fourth proportional to 108.59, 163.07 and 89.33 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.59 : 163.07 = 89.33 : x
  2. Step 2: Convert to fraction form
    108.59/163.07 = 89.33/x
  3. Step 3: Cross multiply
    108.59x = 163.07 × 89.33
  4. Step 4: Simplify right side
    108.59x = 14,566.60
  5. Step 5: Solve for x
    x = 14,566.60/108.59
  6. Step 6: Final answer
    x = 134.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.