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Finding the Fourth Proportional to 223.52, 333.61 and 219.92

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Solution

The fourth proportional to 223.52, 333.61 and 219.92 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 333.61 = 219.92 : x
  2. Step 2: Convert to fraction form
    223.52/333.61 = 219.92/x
  3. Step 3: Cross multiply
    223.52x = 333.61 × 219.92
  4. Step 4: Simplify right side
    223.52x = 73,367.51
  5. Step 5: Solve for x
    x = 73,367.51/223.52
  6. Step 6: Final answer
    x = 328.24

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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.