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Finding the Fourth Proportional to 363.75, 548.43 and 292.47

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Solution

The fourth proportional to 363.75, 548.43 and 292.47 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.75 : 548.43 = 292.47 : x
  2. Step 2: Convert to fraction form
    363.75/548.43 = 292.47/x
  3. Step 3: Cross multiply
    363.75x = 548.43 × 292.47
  4. Step 4: Simplify right side
    363.75x = 160,399.32
  5. Step 5: Solve for x
    x = 160,399.32/363.75
  6. Step 6: Final answer
    x = 440.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.