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Finding the Fourth Proportional to 427.75, 590.31 and 241.31

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Solution

The fourth proportional to 427.75, 590.31 and 241.31 is: 333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 590.31 = 241.31 : x
  2. Step 2: Convert to fraction form
    427.75/590.31 = 241.31/x
  3. Step 3: Cross multiply
    427.75x = 590.31 × 241.31
  4. Step 4: Simplify right side
    427.75x = 142,449.18
  5. Step 5: Solve for x
    x = 142,449.18/427.75
  6. Step 6: Final answer
    x = 333.02

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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.