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Finding the Fourth Proportional to 209.26, 313.89 and 145

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Solution

The fourth proportional to 209.26, 313.89 and 145 is: 217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.26 : 313.89 = 145 : x
  2. Step 2: Convert to fraction form
    209.26/313.89 = 145/x
  3. Step 3: Cross multiply
    209.26x = 313.89 × 145
  4. Step 4: Simplify right side
    209.26x = 45,514.05
  5. Step 5: Solve for x
    x = 45,514.05/209.26
  6. Step 6: Final answer
    x = 217.50

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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.