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Finding the Fourth Proportional to 405.82, 559.75 and 281.51

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Solution

The fourth proportional to 405.82, 559.75 and 281.51 is: 388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 559.75 = 281.51 : x
  2. Step 2: Convert to fraction form
    405.82/559.75 = 281.51/x
  3. Step 3: Cross multiply
    405.82x = 559.75 × 281.51
  4. Step 4: Simplify right side
    405.82x = 157,575.22
  5. Step 5: Solve for x
    x = 157,575.22/405.82
  6. Step 6: Final answer
    x = 388.29

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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.