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Finding the Fourth Proportional to 404.41, 557.93 and 286.59

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Solution

The fourth proportional to 404.41, 557.93 and 286.59 is: 395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.41 : 557.93 = 286.59 : x
  2. Step 2: Convert to fraction form
    404.41/557.93 = 286.59/x
  3. Step 3: Cross multiply
    404.41x = 557.93 × 286.59
  4. Step 4: Simplify right side
    404.41x = 159,897.88
  5. Step 5: Solve for x
    x = 159,897.88/404.41
  6. Step 6: Final answer
    x = 395.39

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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.