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Finding the Fourth Proportional to 209.88, 287.82 and 206.64

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Solution

The fourth proportional to 209.88, 287.82 and 206.64 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 287.82 = 206.64 : x
  2. Step 2: Convert to fraction form
    209.88/287.82 = 206.64/x
  3. Step 3: Cross multiply
    209.88x = 287.82 × 206.64
  4. Step 4: Simplify right side
    209.88x = 59,475.12
  5. Step 5: Solve for x
    x = 59,475.12/209.88
  6. Step 6: Final answer
    x = 283.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.