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Finding the Fourth Proportional to 335.42, 506.23 and 326.78

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Solution

The fourth proportional to 335.42, 506.23 and 326.78 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 506.23 = 326.78 : x
  2. Step 2: Convert to fraction form
    335.42/506.23 = 326.78/x
  3. Step 3: Cross multiply
    335.42x = 506.23 × 326.78
  4. Step 4: Simplify right side
    335.42x = 165,424.21
  5. Step 5: Solve for x
    x = 165,424.21/335.42
  6. Step 6: Final answer
    x = 493.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.