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Finding the Fourth Proportional to 225.68, 311.04 and 209.16

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Solution

The fourth proportional to 225.68, 311.04 and 209.16 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.68 : 311.04 = 209.16 : x
  2. Step 2: Convert to fraction form
    225.68/311.04 = 209.16/x
  3. Step 3: Cross multiply
    225.68x = 311.04 × 209.16
  4. Step 4: Simplify right side
    225.68x = 65,057.13
  5. Step 5: Solve for x
    x = 65,057.13/225.68
  6. Step 6: Final answer
    x = 288.27

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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.