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Finding the Fourth Proportional to 229.82, 342.78 and 209.36

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Solution

The fourth proportional to 229.82, 342.78 and 209.36 is: 312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 342.78 = 209.36 : x
  2. Step 2: Convert to fraction form
    229.82/342.78 = 209.36/x
  3. Step 3: Cross multiply
    229.82x = 342.78 × 209.36
  4. Step 4: Simplify right side
    229.82x = 71,764.42
  5. Step 5: Solve for x
    x = 71,764.42/229.82
  6. Step 6: Final answer
    x = 312.26

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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.