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Finding the Fourth Proportional to 363.94, 546.01 and 254.25

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Solution

The fourth proportional to 363.94, 546.01 and 254.25 is: 381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.94 : 546.01 = 254.25 : x
  2. Step 2: Convert to fraction form
    363.94/546.01 = 254.25/x
  3. Step 3: Cross multiply
    363.94x = 546.01 × 254.25
  4. Step 4: Simplify right side
    363.94x = 138,822.41
  5. Step 5: Solve for x
    x = 138,822.41/363.94
  6. Step 6: Final answer
    x = 381.45

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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.