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Finding the Fourth Proportional to 173.10, 260.85 and 164.86

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Solution

The fourth proportional to 173.10, 260.85 and 164.86 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.10 : 260.85 = 164.86 : x
  2. Step 2: Convert to fraction form
    173.10/260.85 = 164.86/x
  3. Step 3: Cross multiply
    173.10x = 260.85 × 164.86
  4. Step 4: Simplify right side
    173.10x = 43,003.73
  5. Step 5: Solve for x
    x = 43,003.73/173.10
  6. Step 6: Final answer
    x = 248.43

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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.