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Finding the Fourth Proportional to 390.43, 538.68 and 324.82

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Solution

The fourth proportional to 390.43, 538.68 and 324.82 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.43 : 538.68 = 324.82 : x
  2. Step 2: Convert to fraction form
    390.43/538.68 = 324.82/x
  3. Step 3: Cross multiply
    390.43x = 538.68 × 324.82
  4. Step 4: Simplify right side
    390.43x = 174,974.04
  5. Step 5: Solve for x
    x = 174,974.04/390.43
  6. Step 6: Final answer
    x = 448.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.