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Finding the Fourth Proportional to 209.23, 313.91 and 93.62

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Solution

The fourth proportional to 209.23, 313.91 and 93.62 is: 140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.23 : 313.91 = 93.62 : x
  2. Step 2: Convert to fraction form
    209.23/313.91 = 93.62/x
  3. Step 3: Cross multiply
    209.23x = 313.91 × 93.62
  4. Step 4: Simplify right side
    209.23x = 29,388.92
  5. Step 5: Solve for x
    x = 29,388.92/209.23
  6. Step 6: Final answer
    x = 140.46

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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.