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Finding the Fourth Proportional to 223.18, 332.56 and 209.23

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Solution

The fourth proportional to 223.18, 332.56 and 209.23 is: 311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.18 : 332.56 = 209.23 : x
  2. Step 2: Convert to fraction form
    223.18/332.56 = 209.23/x
  3. Step 3: Cross multiply
    223.18x = 332.56 × 209.23
  4. Step 4: Simplify right side
    223.18x = 69,581.53
  5. Step 5: Solve for x
    x = 69,581.53/223.18
  6. Step 6: Final answer
    x = 311.77

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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.