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Finding the Fourth Proportional to 229.08, 316.26 and 209.46

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Solution

The fourth proportional to 229.08, 316.26 and 209.46 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 316.26 = 209.46 : x
  2. Step 2: Convert to fraction form
    229.08/316.26 = 209.46/x
  3. Step 3: Cross multiply
    229.08x = 316.26 × 209.46
  4. Step 4: Simplify right side
    229.08x = 66,243.82
  5. Step 5: Solve for x
    x = 66,243.82/229.08
  6. Step 6: Final answer
    x = 289.17

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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.