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Finding the Fourth Proportional to 405.25, 559.15 and 247.96

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Solution

The fourth proportional to 405.25, 559.15 and 247.96 is: 342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 559.15 = 247.96 : x
  2. Step 2: Convert to fraction form
    405.25/559.15 = 247.96/x
  3. Step 3: Cross multiply
    405.25x = 559.15 × 247.96
  4. Step 4: Simplify right side
    405.25x = 138,648.31
  5. Step 5: Solve for x
    x = 138,648.31/405.25
  6. Step 6: Final answer
    x = 342.13

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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.