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Finding the Fourth Proportional to 173.10, 258.11 and 165.58

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Solution

The fourth proportional to 173.10, 258.11 and 165.58 is: 246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.10 : 258.11 = 165.58 : x
  2. Step 2: Convert to fraction form
    173.10/258.11 = 165.58/x
  3. Step 3: Cross multiply
    173.10x = 258.11 × 165.58
  4. Step 4: Simplify right side
    173.10x = 42,737.85
  5. Step 5: Solve for x
    x = 42,737.85/173.10
  6. Step 6: Final answer
    x = 246.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.