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Finding the Fourth Proportional to 299.60, 414.60 and 292.40

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Solution

The fourth proportional to 299.60, 414.60 and 292.40 is: 404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 414.60 = 292.40 : x
  2. Step 2: Convert to fraction form
    299.60/414.60 = 292.40/x
  3. Step 3: Cross multiply
    299.60x = 414.60 × 292.40
  4. Step 4: Simplify right side
    299.60x = 121,229.04
  5. Step 5: Solve for x
    x = 121,229.04/299.60
  6. Step 6: Final answer
    x = 404.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.