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Finding the Fourth Proportional to 326.14, 490.17 and 155.26

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Solution

The fourth proportional to 326.14, 490.17 and 155.26 is: 233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 490.17 = 155.26 : x
  2. Step 2: Convert to fraction form
    326.14/490.17 = 155.26/x
  3. Step 3: Cross multiply
    326.14x = 490.17 × 155.26
  4. Step 4: Simplify right side
    326.14x = 76,103.79
  5. Step 5: Solve for x
    x = 76,103.79/326.14
  6. Step 6: Final answer
    x = 233.35

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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.