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Finding the Fourth Proportional to 222.82, 332.72 and 206.08

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Solution

The fourth proportional to 222.82, 332.72 and 206.08 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.82 : 332.72 = 206.08 : x
  2. Step 2: Convert to fraction form
    222.82/332.72 = 206.08/x
  3. Step 3: Cross multiply
    222.82x = 332.72 × 206.08
  4. Step 4: Simplify right side
    222.82x = 68,566.94
  5. Step 5: Solve for x
    x = 68,566.94/222.82
  6. Step 6: Final answer
    x = 307.72

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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.