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Finding the Fourth Proportional to 173.20, 261.16 and 167.20

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Solution

The fourth proportional to 173.20, 261.16 and 167.20 is: 252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.20 : 261.16 = 167.20 : x
  2. Step 2: Convert to fraction form
    173.20/261.16 = 167.20/x
  3. Step 3: Cross multiply
    173.20x = 261.16 × 167.20
  4. Step 4: Simplify right side
    173.20x = 43,665.95
  5. Step 5: Solve for x
    x = 43,665.95/173.20
  6. Step 6: Final answer
    x = 252.11

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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.