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Finding the Fourth Proportional to 474.75, 711.63 and 200.97

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Solution

The fourth proportional to 474.75, 711.63 and 200.97 is: 301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.75 : 711.63 = 200.97 : x
  2. Step 2: Convert to fraction form
    474.75/711.63 = 200.97/x
  3. Step 3: Cross multiply
    474.75x = 711.63 × 200.97
  4. Step 4: Simplify right side
    474.75x = 143,016.28
  5. Step 5: Solve for x
    x = 143,016.28/474.75
  6. Step 6: Final answer
    x = 301.25

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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.