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Finding the Fourth Proportional to 209.79, 291.33 and 203.99

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Solution

The fourth proportional to 209.79, 291.33 and 203.99 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.79 : 291.33 = 203.99 : x
  2. Step 2: Convert to fraction form
    209.79/291.33 = 203.99/x
  3. Step 3: Cross multiply
    209.79x = 291.33 × 203.99
  4. Step 4: Simplify right side
    209.79x = 59,426.95
  5. Step 5: Solve for x
    x = 59,426.95/209.79
  6. Step 6: Final answer
    x = 283.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.