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Finding the Fourth Proportional to 563.16, 844.19 and 197.72

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Solution

The fourth proportional to 563.16, 844.19 and 197.72 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 844.19 = 197.72 : x
  2. Step 2: Convert to fraction form
    563.16/844.19 = 197.72/x
  3. Step 3: Cross multiply
    563.16x = 844.19 × 197.72
  4. Step 4: Simplify right side
    563.16x = 166,908.04
  5. Step 5: Solve for x
    x = 166,908.04/563.16
  6. Step 6: Final answer
    x = 296.38

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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.