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Finding the Fourth Proportional to 405.26, 559.22 and 247.91

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Solution

The fourth proportional to 405.26, 559.22 and 247.91 is: 342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 559.22 = 247.91 : x
  2. Step 2: Convert to fraction form
    405.26/559.22 = 247.91/x
  3. Step 3: Cross multiply
    405.26x = 559.22 × 247.91
  4. Step 4: Simplify right side
    405.26x = 138,638.25
  5. Step 5: Solve for x
    x = 138,638.25/405.26
  6. Step 6: Final answer
    x = 342.10

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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.