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Finding the Fourth Proportional to 223.79, 333.38 and 209.81

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Solution

The fourth proportional to 223.79, 333.38 and 209.81 is: 312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.79 : 333.38 = 209.81 : x
  2. Step 2: Convert to fraction form
    223.79/333.38 = 209.81/x
  3. Step 3: Cross multiply
    223.79x = 333.38 × 209.81
  4. Step 4: Simplify right side
    223.79x = 69,947.82
  5. Step 5: Solve for x
    x = 69,947.82/223.79
  6. Step 6: Final answer
    x = 312.57

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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.