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Finding the Fourth Proportional to 437.78, 655.56 and 252.19

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Solution

The fourth proportional to 437.78, 655.56 and 252.19 is: 377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.78 : 655.56 = 252.19 : x
  2. Step 2: Convert to fraction form
    437.78/655.56 = 252.19/x
  3. Step 3: Cross multiply
    437.78x = 655.56 × 252.19
  4. Step 4: Simplify right side
    437.78x = 165,321.14
  5. Step 5: Solve for x
    x = 165,321.14/437.78
  6. Step 6: Final answer
    x = 377.64

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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.