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Finding the Fourth Proportional to 222.19, 306.68 and 209.01

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Solution

The fourth proportional to 222.19, 306.68 and 209.01 is: 288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.19 : 306.68 = 209.01 : x
  2. Step 2: Convert to fraction form
    222.19/306.68 = 209.01/x
  3. Step 3: Cross multiply
    222.19x = 306.68 × 209.01
  4. Step 4: Simplify right side
    222.19x = 64,099.19
  5. Step 5: Solve for x
    x = 64,099.19/222.19
  6. Step 6: Final answer
    x = 288.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.