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Finding the Fourth Proportional to 174.43, 260.55 and 173.62

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Solution

The fourth proportional to 174.43, 260.55 and 173.62 is: 259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.43 : 260.55 = 173.62 : x
  2. Step 2: Convert to fraction form
    174.43/260.55 = 173.62/x
  3. Step 3: Cross multiply
    174.43x = 260.55 × 173.62
  4. Step 4: Simplify right side
    174.43x = 45,234.52
  5. Step 5: Solve for x
    x = 45,234.52/174.43
  6. Step 6: Final answer
    x = 259.34

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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.