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Finding the Fourth Proportional to 404.14, 557.46 and 256.78

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Solution

The fourth proportional to 404.14, 557.46 and 256.78 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 557.46 = 256.78 : x
  2. Step 2: Convert to fraction form
    404.14/557.46 = 256.78/x
  3. Step 3: Cross multiply
    404.14x = 557.46 × 256.78
  4. Step 4: Simplify right side
    404.14x = 143,144.58
  5. Step 5: Solve for x
    x = 143,144.58/404.14
  6. Step 6: Final answer
    x = 354.20

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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.