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Finding the Fourth Proportional to 563.43, 845.12 and 198.23

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Solution

The fourth proportional to 563.43, 845.12 and 198.23 is: 297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.43 : 845.12 = 198.23 : x
  2. Step 2: Convert to fraction form
    563.43/845.12 = 198.23/x
  3. Step 3: Cross multiply
    563.43x = 845.12 × 198.23
  4. Step 4: Simplify right side
    563.43x = 167,524.41
  5. Step 5: Solve for x
    x = 167,524.41/563.43
  6. Step 6: Final answer
    x = 297.33

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Double scale
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Similar ratio
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1.5x scale

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.