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Finding the Fourth Proportional to 563.48, 845.31 and 198.21

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Solution

The fourth proportional to 563.48, 845.31 and 198.21 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 845.31 = 198.21 : x
  2. Step 2: Convert to fraction form
    563.48/845.31 = 198.21/x
  3. Step 3: Cross multiply
    563.48x = 845.31 × 198.21
  4. Step 4: Simplify right side
    563.48x = 167,548.90
  5. Step 5: Solve for x
    x = 167,548.90/563.48
  6. Step 6: Final answer
    x = 297.35

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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.