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Finding the Fourth Proportional to 564.25, 845.12 and 255.64

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Solution

The fourth proportional to 564.25, 845.12 and 255.64 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 845.12 = 255.64 : x
  2. Step 2: Convert to fraction form
    564.25/845.12 = 255.64/x
  3. Step 3: Cross multiply
    564.25x = 845.12 × 255.64
  4. Step 4: Simplify right side
    564.25x = 216,046.48
  5. Step 5: Solve for x
    x = 216,046.48/564.25
  6. Step 6: Final answer
    x = 382.89

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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.