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Finding the Fourth Proportional to 173.68, 259.14 and 163.36

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Solution

The fourth proportional to 173.68, 259.14 and 163.36 is: 243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.68 : 259.14 = 163.36 : x
  2. Step 2: Convert to fraction form
    173.68/259.14 = 163.36/x
  3. Step 3: Cross multiply
    173.68x = 259.14 × 163.36
  4. Step 4: Simplify right side
    173.68x = 42,333.11
  5. Step 5: Solve for x
    x = 42,333.11/173.68
  6. Step 6: Final answer
    x = 243.74

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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.