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Finding the Fourth Proportional to 209.57, 311.66 and 203.09

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Solution

The fourth proportional to 209.57, 311.66 and 203.09 is: 302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 311.66 = 203.09 : x
  2. Step 2: Convert to fraction form
    209.57/311.66 = 203.09/x
  3. Step 3: Cross multiply
    209.57x = 311.66 × 203.09
  4. Step 4: Simplify right side
    209.57x = 63,292.46
  5. Step 5: Solve for x
    x = 63,292.46/209.57
  6. Step 6: Final answer
    x = 302.02

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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.