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Finding the Fourth Proportional to 209.27, 315.02 and 148.83

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Solution

The fourth proportional to 209.27, 315.02 and 148.83 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.27 : 315.02 = 148.83 : x
  2. Step 2: Convert to fraction form
    209.27/315.02 = 148.83/x
  3. Step 3: Cross multiply
    209.27x = 315.02 × 148.83
  4. Step 4: Simplify right side
    209.27x = 46,883.68
  5. Step 5: Solve for x
    x = 46,883.68/209.27
  6. Step 6: Final answer
    x = 224.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.