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Finding the Fourth Proportional to 173.61, 259.07 and 163.22

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Solution

The fourth proportional to 173.61, 259.07 and 163.22 is: 243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.61 : 259.07 = 163.22 : x
  2. Step 2: Convert to fraction form
    173.61/259.07 = 163.22/x
  3. Step 3: Cross multiply
    173.61x = 259.07 × 163.22
  4. Step 4: Simplify right side
    173.61x = 42,283.29
  5. Step 5: Solve for x
    x = 42,283.29/173.61
  6. Step 6: Final answer
    x = 243.55

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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.