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Finding the Fourth Proportional to 209.76, 315.33 and 149.33

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Solution

The fourth proportional to 209.76, 315.33 and 149.33 is: 224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 315.33 = 149.33 : x
  2. Step 2: Convert to fraction form
    209.76/315.33 = 149.33/x
  3. Step 3: Cross multiply
    209.76x = 315.33 × 149.33
  4. Step 4: Simplify right side
    209.76x = 47,088.23
  5. Step 5: Solve for x
    x = 47,088.23/209.76
  6. Step 6: Final answer
    x = 224.49

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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.