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Finding the Fourth Proportional to 363.78, 544.64 and 277.47

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Solution

The fourth proportional to 363.78, 544.64 and 277.47 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 544.64 = 277.47 : x
  2. Step 2: Convert to fraction form
    363.78/544.64 = 277.47/x
  3. Step 3: Cross multiply
    363.78x = 544.64 × 277.47
  4. Step 4: Simplify right side
    363.78x = 151,119.87
  5. Step 5: Solve for x
    x = 151,119.87/363.78
  6. Step 6: Final answer
    x = 415.42

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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.