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Finding the Fourth Proportional to 173.88, 259.23 and 163.56

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Solution

The fourth proportional to 173.88, 259.23 and 163.56 is: 243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.88 : 259.23 = 163.56 : x
  2. Step 2: Convert to fraction form
    173.88/259.23 = 163.56/x
  3. Step 3: Cross multiply
    173.88x = 259.23 × 163.56
  4. Step 4: Simplify right side
    173.88x = 42,399.66
  5. Step 5: Solve for x
    x = 42,399.66/173.88
  6. Step 6: Final answer
    x = 243.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.