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Finding the Fourth Proportional to 229.05, 345.37 and 209.91

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Solution

The fourth proportional to 229.05, 345.37 and 209.91 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.05 : 345.37 = 209.91 : x
  2. Step 2: Convert to fraction form
    229.05/345.37 = 209.91/x
  3. Step 3: Cross multiply
    229.05x = 345.37 × 209.91
  4. Step 4: Simplify right side
    229.05x = 72,496.96
  5. Step 5: Solve for x
    x = 72,496.96/229.05
  6. Step 6: Final answer
    x = 316.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.