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Finding the Fourth Proportional to 404.09, 556.86 and 287.45

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Solution

The fourth proportional to 404.09, 556.86 and 287.45 is: 396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.09 : 556.86 = 287.45 : x
  2. Step 2: Convert to fraction form
    404.09/556.86 = 287.45/x
  3. Step 3: Cross multiply
    404.09x = 556.86 × 287.45
  4. Step 4: Simplify right side
    404.09x = 160,065.19
  5. Step 5: Solve for x
    x = 160,065.19/404.09
  6. Step 6: Final answer
    x = 396.12

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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.