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Finding the Fourth Proportional to 229.05, 316.20 and 209.37

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Solution

The fourth proportional to 229.05, 316.20 and 209.37 is: 289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.05 : 316.20 = 209.37 : x
  2. Step 2: Convert to fraction form
    229.05/316.20 = 209.37/x
  3. Step 3: Cross multiply
    229.05x = 316.20 × 209.37
  4. Step 4: Simplify right side
    229.05x = 66,202.79
  5. Step 5: Solve for x
    x = 66,202.79/229.05
  6. Step 6: Final answer
    x = 289.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.