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Finding the Fourth Proportional to 566.38, 849.66 and 219.88

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Solution

The fourth proportional to 566.38, 849.66 and 219.88 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 849.66 = 219.88 : x
  2. Step 2: Convert to fraction form
    566.38/849.66 = 219.88/x
  3. Step 3: Cross multiply
    566.38x = 849.66 × 219.88
  4. Step 4: Simplify right side
    566.38x = 186,823.24
  5. Step 5: Solve for x
    x = 186,823.24/566.38
  6. Step 6: Final answer
    x = 329.85

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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.