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Finding the Fourth Proportional to 627.92, 941.28 and 281.44

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Solution

The fourth proportional to 627.92, 941.28 and 281.44 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 941.28 = 281.44 : x
  2. Step 2: Convert to fraction form
    627.92/941.28 = 281.44/x
  3. Step 3: Cross multiply
    627.92x = 941.28 × 281.44
  4. Step 4: Simplify right side
    627.92x = 264,913.84
  5. Step 5: Solve for x
    x = 264,913.84/627.92
  6. Step 6: Final answer
    x = 421.89

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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.