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Finding the Fourth Proportional to 474.44, 711.30 and 269.60

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Solution

The fourth proportional to 474.44, 711.30 and 269.60 is: 404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 711.30 = 269.60 : x
  2. Step 2: Convert to fraction form
    474.44/711.30 = 269.60/x
  3. Step 3: Cross multiply
    474.44x = 711.30 × 269.60
  4. Step 4: Simplify right side
    474.44x = 191,766.48
  5. Step 5: Solve for x
    x = 191,766.48/474.44
  6. Step 6: Final answer
    x = 404.20

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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.