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Finding the Fourth Proportional to 368.81, 506.24 and 326.43

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Solution

The fourth proportional to 368.81, 506.24 and 326.43 is: 448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.81 : 506.24 = 326.43 : x
  2. Step 2: Convert to fraction form
    368.81/506.24 = 326.43/x
  3. Step 3: Cross multiply
    368.81x = 506.24 × 326.43
  4. Step 4: Simplify right side
    368.81x = 165,250.29
  5. Step 5: Solve for x
    x = 165,250.29/368.81
  6. Step 6: Final answer
    x = 448.07

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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.