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Finding the Fourth Proportional to 427.41, 640.10 and 335.48

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Solution

The fourth proportional to 427.41, 640.10 and 335.48 is: 502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.41 : 640.10 = 335.48 : x
  2. Step 2: Convert to fraction form
    427.41/640.10 = 335.48/x
  3. Step 3: Cross multiply
    427.41x = 640.10 × 335.48
  4. Step 4: Simplify right side
    427.41x = 214,738.39
  5. Step 5: Solve for x
    x = 214,738.39/427.41
  6. Step 6: Final answer
    x = 502.42

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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.