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Finding the Fourth Proportional to 404.14, 557.38 and 256.52

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Solution

The fourth proportional to 404.14, 557.38 and 256.52 is: 353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 557.38 = 256.52 : x
  2. Step 2: Convert to fraction form
    404.14/557.38 = 256.52/x
  3. Step 3: Cross multiply
    404.14x = 557.38 × 256.52
  4. Step 4: Simplify right side
    404.14x = 142,977.70
  5. Step 5: Solve for x
    x = 142,977.70/404.14
  6. Step 6: Final answer
    x = 353.78

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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.