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Finding the Fourth Proportional to 209.33, 312.71 and 205.69

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Solution

The fourth proportional to 209.33, 312.71 and 205.69 is: 307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.33 : 312.71 = 205.69 : x
  2. Step 2: Convert to fraction form
    209.33/312.71 = 205.69/x
  3. Step 3: Cross multiply
    209.33x = 312.71 × 205.69
  4. Step 4: Simplify right side
    209.33x = 64,321.25
  5. Step 5: Solve for x
    x = 64,321.25/209.33
  6. Step 6: Final answer
    x = 307.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.