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Finding the Fourth Proportional to 405.25, 559.08 and 250.09

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Solution

The fourth proportional to 405.25, 559.08 and 250.09 is: 345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 559.08 = 250.09 : x
  2. Step 2: Convert to fraction form
    405.25/559.08 = 250.09/x
  3. Step 3: Cross multiply
    405.25x = 559.08 × 250.09
  4. Step 4: Simplify right side
    405.25x = 139,820.32
  5. Step 5: Solve for x
    x = 139,820.32/405.25
  6. Step 6: Final answer
    x = 345.02

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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.