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Finding the Fourth Proportional to 294.60, 404.19 and 270.12

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Solution

The fourth proportional to 294.60, 404.19 and 270.12 is: 370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 404.19 = 270.12 : x
  2. Step 2: Convert to fraction form
    294.60/404.19 = 270.12/x
  3. Step 3: Cross multiply
    294.60x = 404.19 × 270.12
  4. Step 4: Simplify right side
    294.60x = 109,179.80
  5. Step 5: Solve for x
    x = 109,179.80/294.60
  6. Step 6: Final answer
    x = 370.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.