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Finding the Fourth Proportional to 406.07, 559.25 and 350.78

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Solution

The fourth proportional to 406.07, 559.25 and 350.78 is: 483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.07 : 559.25 = 350.78 : x
  2. Step 2: Convert to fraction form
    406.07/559.25 = 350.78/x
  3. Step 3: Cross multiply
    406.07x = 559.25 × 350.78
  4. Step 4: Simplify right side
    406.07x = 196,169.16
  5. Step 5: Solve for x
    x = 196,169.16/406.07
  6. Step 6: Final answer
    x = 483.10

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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.