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Finding the Fourth Proportional to 389.52, 538.56 and 324

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Solution

The fourth proportional to 389.52, 538.56 and 324 is: 447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 538.56 = 324 : x
  2. Step 2: Convert to fraction form
    389.52/538.56 = 324/x
  3. Step 3: Cross multiply
    389.52x = 538.56 × 324
  4. Step 4: Simplify right side
    389.52x = 174,493.44
  5. Step 5: Solve for x
    x = 174,493.44/389.52
  6. Step 6: Final answer
    x = 447.97

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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.