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Finding the Fourth Proportional to 563.29, 845.26 and 255.29

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Solution

The fourth proportional to 563.29, 845.26 and 255.29 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.29 : 845.26 = 255.29 : x
  2. Step 2: Convert to fraction form
    563.29/845.26 = 255.29/x
  3. Step 3: Cross multiply
    563.29x = 845.26 × 255.29
  4. Step 4: Simplify right side
    563.29x = 215,781.56
  5. Step 5: Solve for x
    x = 215,781.56/563.29
  6. Step 6: Final answer
    x = 383.08

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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.