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Finding the Fourth Proportional to 627.85, 941.21 and 237.77

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Solution

The fourth proportional to 627.85, 941.21 and 237.77 is: 356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.85 : 941.21 = 237.77 : x
  2. Step 2: Convert to fraction form
    627.85/941.21 = 237.77/x
  3. Step 3: Cross multiply
    627.85x = 941.21 × 237.77
  4. Step 4: Simplify right side
    627.85x = 223,792.67
  5. Step 5: Solve for x
    x = 223,792.67/627.85
  6. Step 6: Final answer
    x = 356.44

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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.