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Finding the Fourth Proportional to 369.05, 506.57 and 326.68

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Solution

The fourth proportional to 369.05, 506.57 and 326.68 is: 448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.05 : 506.57 = 326.68 : x
  2. Step 2: Convert to fraction form
    369.05/506.57 = 326.68/x
  3. Step 3: Cross multiply
    369.05x = 506.57 × 326.68
  4. Step 4: Simplify right side
    369.05x = 165,486.29
  5. Step 5: Solve for x
    x = 165,486.29/369.05
  6. Step 6: Final answer
    x = 448.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.