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Finding the Fourth Proportional to 566.42, 849.17 and 219.57

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Solution

The fourth proportional to 566.42, 849.17 and 219.57 is: 329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 849.17 = 219.57 : x
  2. Step 2: Convert to fraction form
    566.42/849.17 = 219.57/x
  3. Step 3: Cross multiply
    566.42x = 849.17 × 219.57
  4. Step 4: Simplify right side
    566.42x = 186,451.16
  5. Step 5: Solve for x
    x = 186,451.16/566.42
  6. Step 6: Final answer
    x = 329.18

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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.