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Finding the Fourth Proportional to 568.76, 852.71 and 222.05

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Solution

The fourth proportional to 568.76, 852.71 and 222.05 is: 332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.76 : 852.71 = 222.05 : x
  2. Step 2: Convert to fraction form
    568.76/852.71 = 222.05/x
  3. Step 3: Cross multiply
    568.76x = 852.71 × 222.05
  4. Step 4: Simplify right side
    568.76x = 189,344.26
  5. Step 5: Solve for x
    x = 189,344.26/568.76
  6. Step 6: Final answer
    x = 332.91

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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.