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Finding the Fourth Proportional to 173.62, 261.92 and 165.07

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Solution

The fourth proportional to 173.62, 261.92 and 165.07 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.62 : 261.92 = 165.07 : x
  2. Step 2: Convert to fraction form
    173.62/261.92 = 165.07/x
  3. Step 3: Cross multiply
    173.62x = 261.92 × 165.07
  4. Step 4: Simplify right side
    173.62x = 43,235.13
  5. Step 5: Solve for x
    x = 43,235.13/173.62
  6. Step 6: Final answer
    x = 249.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.