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Finding the Fourth Proportional to 173.90, 261.32 and 163.95

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Solution

The fourth proportional to 173.90, 261.32 and 163.95 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.90 : 261.32 = 163.95 : x
  2. Step 2: Convert to fraction form
    173.90/261.32 = 163.95/x
  3. Step 3: Cross multiply
    173.90x = 261.32 × 163.95
  4. Step 4: Simplify right side
    173.90x = 42,842.59
  5. Step 5: Solve for x
    x = 42,842.59/173.90
  6. Step 6: Final answer
    x = 246.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.