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Finding the Fourth Proportional to 222.43, 332.05 and 206.03

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Solution

The fourth proportional to 222.43, 332.05 and 206.03 is: 307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.43 : 332.05 = 206.03 : x
  2. Step 2: Convert to fraction form
    222.43/332.05 = 206.03/x
  3. Step 3: Cross multiply
    222.43x = 332.05 × 206.03
  4. Step 4: Simplify right side
    222.43x = 68,412.26
  5. Step 5: Solve for x
    x = 68,412.26/222.43
  6. Step 6: Final answer
    x = 307.57

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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.