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Finding the Fourth Proportional to 173.37, 259.94 and 77.13

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Solution

The fourth proportional to 173.37, 259.94 and 77.13 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.37 : 259.94 = 77.13 : x
  2. Step 2: Convert to fraction form
    173.37/259.94 = 77.13/x
  3. Step 3: Cross multiply
    173.37x = 259.94 × 77.13
  4. Step 4: Simplify right side
    173.37x = 20,048.79
  5. Step 5: Solve for x
    x = 20,048.79/173.37
  6. Step 6: Final answer
    x = 115.64

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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.