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Finding the Fourth Proportional to 209.56, 313.74 and 173.32

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Solution

The fourth proportional to 209.56, 313.74 and 173.32 is: 259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 313.74 = 173.32 : x
  2. Step 2: Convert to fraction form
    209.56/313.74 = 173.32/x
  3. Step 3: Cross multiply
    209.56x = 313.74 × 173.32
  4. Step 4: Simplify right side
    209.56x = 54,377.42
  5. Step 5: Solve for x
    x = 54,377.42/209.56
  6. Step 6: Final answer
    x = 259.48

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Why These Related Problems?

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