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Finding the Fourth Proportional to 1,025.52, 1,538.24 and 256

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Solution

The fourth proportional to 1,025.52, 1,538.24 and 256 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.52 : 1,538.24 = 256 : x
  2. Step 2: Convert to fraction form
    1,025.52/1,538.24 = 256/x
  3. Step 3: Cross multiply
    1,025.52x = 1,538.24 × 256
  4. Step 4: Simplify right side
    1,025.52x = 393,789.44
  5. Step 5: Solve for x
    x = 393,789.44/1,025.52
  6. Step 6: Final answer
    x = 383.99

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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.