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Finding the Fourth Proportional to 405.75, 559.77 and 250.59

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Solution

The fourth proportional to 405.75, 559.77 and 250.59 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.75 : 559.77 = 250.59 : x
  2. Step 2: Convert to fraction form
    405.75/559.77 = 250.59/x
  3. Step 3: Cross multiply
    405.75x = 559.77 × 250.59
  4. Step 4: Simplify right side
    405.75x = 140,272.76
  5. Step 5: Solve for x
    x = 140,272.76/405.75
  6. Step 6: Final answer
    x = 345.71

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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.