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Finding the Fourth Proportional to 404.05, 557.66 and 254.78

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Solution

The fourth proportional to 404.05, 557.66 and 254.78 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.05 : 557.66 = 254.78 : x
  2. Step 2: Convert to fraction form
    404.05/557.66 = 254.78/x
  3. Step 3: Cross multiply
    404.05x = 557.66 × 254.78
  4. Step 4: Simplify right side
    404.05x = 142,080.61
  5. Step 5: Solve for x
    x = 142,080.61/404.05
  6. Step 6: Final answer
    x = 351.64

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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.