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Finding the Fourth Proportional to 173.39, 259.81 and 109.13

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Solution

The fourth proportional to 173.39, 259.81 and 109.13 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.39 : 259.81 = 109.13 : x
  2. Step 2: Convert to fraction form
    173.39/259.81 = 109.13/x
  3. Step 3: Cross multiply
    173.39x = 259.81 × 109.13
  4. Step 4: Simplify right side
    173.39x = 28,351.49
  5. Step 5: Solve for x
    x = 28,351.49/173.39
  6. Step 6: Final answer
    x = 163.52

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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.