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Finding the Fourth Proportional to 930.60, 1,396.20 and 281.40

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Solution

The fourth proportional to 930.60, 1,396.20 and 281.40 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.60 : 1,396.20 = 281.40 : x
  2. Step 2: Convert to fraction form
    930.60/1,396.20 = 281.40/x
  3. Step 3: Cross multiply
    930.60x = 1,396.20 × 281.40
  4. Step 4: Simplify right side
    930.60x = 392,890.68
  5. Step 5: Solve for x
    x = 392,890.68/930.60
  6. Step 6: Final answer
    x = 422.19

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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.