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Finding the Fourth Proportional to 209.41, 313.93 and 101.27

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Solution

The fourth proportional to 209.41, 313.93 and 101.27 is: 151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.41 : 313.93 = 101.27 : x
  2. Step 2: Convert to fraction form
    209.41/313.93 = 101.27/x
  3. Step 3: Cross multiply
    209.41x = 313.93 × 101.27
  4. Step 4: Simplify right side
    209.41x = 31,791.69
  5. Step 5: Solve for x
    x = 31,791.69/209.41
  6. Step 6: Final answer
    x = 151.82

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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.