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Finding the Fourth Proportional to 173.32, 259.90 and 77.13

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Solution

The fourth proportional to 173.32, 259.90 and 77.13 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 259.90 = 77.13 : x
  2. Step 2: Convert to fraction form
    173.32/259.90 = 77.13/x
  3. Step 3: Cross multiply
    173.32x = 259.90 × 77.13
  4. Step 4: Simplify right side
    173.32x = 20,046.09
  5. Step 5: Solve for x
    x = 20,046.09/173.32
  6. Step 6: Final answer
    x = 115.66

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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.