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Finding the Fourth Proportional to 424.82, 635.97 and 241.64

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Solution

The fourth proportional to 424.82, 635.97 and 241.64 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.82 : 635.97 = 241.64 : x
  2. Step 2: Convert to fraction form
    424.82/635.97 = 241.64/x
  3. Step 3: Cross multiply
    424.82x = 635.97 × 241.64
  4. Step 4: Simplify right side
    424.82x = 153,675.79
  5. Step 5: Solve for x
    x = 153,675.79/424.82
  6. Step 6: Final answer
    x = 361.74

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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.