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Finding the Fourth Proportional to 587.82, 882.18 and 222.69

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Solution

The fourth proportional to 587.82, 882.18 and 222.69 is: 334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 882.18 = 222.69 : x
  2. Step 2: Convert to fraction form
    587.82/882.18 = 222.69/x
  3. Step 3: Cross multiply
    587.82x = 882.18 × 222.69
  4. Step 4: Simplify right side
    587.82x = 196,452.66
  5. Step 5: Solve for x
    x = 196,452.66/587.82
  6. Step 6: Final answer
    x = 334.21

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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.