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Finding the Fourth Proportional to 568.39, 852.25 and 221.62

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Solution

The fourth proportional to 568.39, 852.25 and 221.62 is: 332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.39 : 852.25 = 221.62 : x
  2. Step 2: Convert to fraction form
    568.39/852.25 = 221.62/x
  3. Step 3: Cross multiply
    568.39x = 852.25 × 221.62
  4. Step 4: Simplify right side
    568.39x = 188,875.65
  5. Step 5: Solve for x
    x = 188,875.65/568.39
  6. Step 6: Final answer
    x = 332.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.