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Finding the Fourth Proportional to 564.20, 845.88 and 239.36

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Solution

The fourth proportional to 564.20, 845.88 and 239.36 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.20 : 845.88 = 239.36 : x
  2. Step 2: Convert to fraction form
    564.20/845.88 = 239.36/x
  3. Step 3: Cross multiply
    564.20x = 845.88 × 239.36
  4. Step 4: Simplify right side
    564.20x = 202,469.84
  5. Step 5: Solve for x
    x = 202,469.84/564.20
  6. Step 6: Final answer
    x = 358.86

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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.