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Finding the Fourth Proportional to 222.08, 331.46 and 209.93

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Solution

The fourth proportional to 222.08, 331.46 and 209.93 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.08 : 331.46 = 209.93 : x
  2. Step 2: Convert to fraction form
    222.08/331.46 = 209.93/x
  3. Step 3: Cross multiply
    222.08x = 331.46 × 209.93
  4. Step 4: Simplify right side
    222.08x = 69,581.48
  5. Step 5: Solve for x
    x = 69,581.48/222.08
  6. Step 6: Final answer
    x = 313.32

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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.