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Finding the Fourth Proportional to 930.76, 1,396.26 and 281.44

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Solution

The fourth proportional to 930.76, 1,396.26 and 281.44 is: 422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.76 : 1,396.26 = 281.44 : x
  2. Step 2: Convert to fraction form
    930.76/1,396.26 = 281.44/x
  3. Step 3: Cross multiply
    930.76x = 1,396.26 × 281.44
  4. Step 4: Simplify right side
    930.76x = 392,963.41
  5. Step 5: Solve for x
    x = 392,963.41/930.76
  6. Step 6: Final answer
    x = 422.20

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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.