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Finding the Fourth Proportional to 365.42, 547.84 and 249.57

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Solution

The fourth proportional to 365.42, 547.84 and 249.57 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.42 : 547.84 = 249.57 : x
  2. Step 2: Convert to fraction form
    365.42/547.84 = 249.57/x
  3. Step 3: Cross multiply
    365.42x = 547.84 × 249.57
  4. Step 4: Simplify right side
    365.42x = 136,724.43
  5. Step 5: Solve for x
    x = 136,724.43/365.42
  6. Step 6: Final answer
    x = 374.16

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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.