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Finding the Fourth Proportional to 173.23, 259.89 and 77.11

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Solution

The fourth proportional to 173.23, 259.89 and 77.11 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.23 : 259.89 = 77.11 : x
  2. Step 2: Convert to fraction form
    173.23/259.89 = 77.11/x
  3. Step 3: Cross multiply
    173.23x = 259.89 × 77.11
  4. Step 4: Simplify right side
    173.23x = 20,039.47
  5. Step 5: Solve for x
    x = 20,039.47/173.23
  6. Step 6: Final answer
    x = 115.68

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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.