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Finding the Fourth Proportional to 173.88, 259.23 and 163.55

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Solution

The fourth proportional to 173.88, 259.23 and 163.55 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.88 : 259.23 = 163.55 : x
  2. Step 2: Convert to fraction form
    173.88/259.23 = 163.55/x
  3. Step 3: Cross multiply
    173.88x = 259.23 × 163.55
  4. Step 4: Simplify right side
    173.88x = 42,397.07
  5. Step 5: Solve for x
    x = 42,397.07/173.88
  6. Step 6: Final answer
    x = 243.83

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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.