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Finding the Fourth Proportional to 109.29, 163.59 and 63.50

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Solution

The fourth proportional to 109.29, 163.59 and 63.50 is: 95.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.29 : 163.59 = 63.50 : x
  2. Step 2: Convert to fraction form
    109.29/163.59 = 63.50/x
  3. Step 3: Cross multiply
    109.29x = 163.59 × 63.50
  4. Step 4: Simplify right side
    109.29x = 10,387.97
  5. Step 5: Solve for x
    x = 10,387.97/109.29
  6. Step 6: Final answer
    x = 95.05

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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.