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Finding the Fourth Proportional to 337.69, 507.21 and 326.62

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Solution

The fourth proportional to 337.69, 507.21 and 326.62 is: 490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 507.21 = 326.62 : x
  2. Step 2: Convert to fraction form
    337.69/507.21 = 326.62/x
  3. Step 3: Cross multiply
    337.69x = 507.21 × 326.62
  4. Step 4: Simplify right side
    337.69x = 165,664.93
  5. Step 5: Solve for x
    x = 165,664.93/337.69
  6. Step 6: Final answer
    x = 490.58

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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.