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Finding the Fourth Proportional to 627.80, 941.48 and 194.80

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Solution

The fourth proportional to 627.80, 941.48 and 194.80 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.80 : 941.48 = 194.80 : x
  2. Step 2: Convert to fraction form
    627.80/941.48 = 194.80/x
  3. Step 3: Cross multiply
    627.80x = 941.48 × 194.80
  4. Step 4: Simplify right side
    627.80x = 183,400.30
  5. Step 5: Solve for x
    x = 183,400.30/627.80
  6. Step 6: Final answer
    x = 292.13

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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.