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Finding the Fourth Proportional to 174.93, 261.01 and 163.18

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Solution

The fourth proportional to 174.93, 261.01 and 163.18 is: 243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.93 : 261.01 = 163.18 : x
  2. Step 2: Convert to fraction form
    174.93/261.01 = 163.18/x
  3. Step 3: Cross multiply
    174.93x = 261.01 × 163.18
  4. Step 4: Simplify right side
    174.93x = 42,591.61
  5. Step 5: Solve for x
    x = 42,591.61/174.93
  6. Step 6: Final answer
    x = 243.48

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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.