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Finding the Fourth Proportional to 209.20, 313.66 and 101

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Solution

The fourth proportional to 209.20, 313.66 and 101 is: 151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.20 : 313.66 = 101 : x
  2. Step 2: Convert to fraction form
    209.20/313.66 = 101/x
  3. Step 3: Cross multiply
    209.20x = 313.66 × 101
  4. Step 4: Simplify right side
    209.20x = 31,679.66
  5. Step 5: Solve for x
    x = 31,679.66/209.20
  6. Step 6: Final answer
    x = 151.43

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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.