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Finding the Fourth Proportional to 223.10, 332.18 and 209.74

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Solution

The fourth proportional to 223.10, 332.18 and 209.74 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.10 : 332.18 = 209.74 : x
  2. Step 2: Convert to fraction form
    223.10/332.18 = 209.74/x
  3. Step 3: Cross multiply
    223.10x = 332.18 × 209.74
  4. Step 4: Simplify right side
    223.10x = 69,671.43
  5. Step 5: Solve for x
    x = 69,671.43/223.10
  6. Step 6: Final answer
    x = 312.29

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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.