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Finding the Fourth Proportional to 209.26, 313.31 and 157.75

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Solution

The fourth proportional to 209.26, 313.31 and 157.75 is: 236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.26 : 313.31 = 157.75 : x
  2. Step 2: Convert to fraction form
    209.26/313.31 = 157.75/x
  3. Step 3: Cross multiply
    209.26x = 313.31 × 157.75
  4. Step 4: Simplify right side
    209.26x = 49,423.87
  5. Step 5: Solve for x
    x = 49,423.87/209.26
  6. Step 6: Final answer
    x = 236.18

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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.