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Finding the Fourth Proportional to 363.88, 546.90 and 292.60

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Solution

The fourth proportional to 363.88, 546.90 and 292.60 is: 439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.88 : 546.90 = 292.60 : x
  2. Step 2: Convert to fraction form
    363.88/546.90 = 292.60/x
  3. Step 3: Cross multiply
    363.88x = 546.90 × 292.60
  4. Step 4: Simplify right side
    363.88x = 160,022.94
  5. Step 5: Solve for x
    x = 160,022.94/363.88
  6. Step 6: Final answer
    x = 439.77

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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.