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Finding the Fourth Proportional to 405.88, 559.86 and 256.23

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Solution

The fourth proportional to 405.88, 559.86 and 256.23 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 559.86 = 256.23 : x
  2. Step 2: Convert to fraction form
    405.88/559.86 = 256.23/x
  3. Step 3: Cross multiply
    405.88x = 559.86 × 256.23
  4. Step 4: Simplify right side
    405.88x = 143,452.93
  5. Step 5: Solve for x
    x = 143,452.93/405.88
  6. Step 6: Final answer
    x = 353.44

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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.