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Finding the Fourth Proportional to 404.13, 557.41 and 279.75

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Solution

The fourth proportional to 404.13, 557.41 and 279.75 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.13 : 557.41 = 279.75 : x
  2. Step 2: Convert to fraction form
    404.13/557.41 = 279.75/x
  3. Step 3: Cross multiply
    404.13x = 557.41 × 279.75
  4. Step 4: Simplify right side
    404.13x = 155,935.45
  5. Step 5: Solve for x
    x = 155,935.45/404.13
  6. Step 6: Final answer
    x = 385.85

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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.