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Finding the Fourth Proportional to 566.35, 849.35 and 219.58

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Solution

The fourth proportional to 566.35, 849.35 and 219.58 is: 329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.35 : 849.35 = 219.58 : x
  2. Step 2: Convert to fraction form
    566.35/849.35 = 219.58/x
  3. Step 3: Cross multiply
    566.35x = 849.35 × 219.58
  4. Step 4: Simplify right side
    566.35x = 186,498.70
  5. Step 5: Solve for x
    x = 186,498.70/566.35
  6. Step 6: Final answer
    x = 329.30

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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.