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Finding the Fourth Proportional to 173.20, 260.13 and 166.85

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Solution

The fourth proportional to 173.20, 260.13 and 166.85 is: 250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.20 : 260.13 = 166.85 : x
  2. Step 2: Convert to fraction form
    173.20/260.13 = 166.85/x
  3. Step 3: Cross multiply
    173.20x = 260.13 × 166.85
  4. Step 4: Simplify right side
    173.20x = 43,401.86
  5. Step 5: Solve for x
    x = 43,401.86/173.20
  6. Step 6: Final answer
    x = 250.60

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