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Finding the Fourth Proportional to 223.04, 332.28 and 209.07

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Solution

The fourth proportional to 223.04, 332.28 and 209.07 is: 311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.04 : 332.28 = 209.07 : x
  2. Step 2: Convert to fraction form
    223.04/332.28 = 209.07/x
  3. Step 3: Cross multiply
    223.04x = 332.28 × 209.07
  4. Step 4: Simplify right side
    223.04x = 69,469.78
  5. Step 5: Solve for x
    x = 69,469.78/223.04
  6. Step 6: Final answer
    x = 311.47

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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.