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Finding the Fourth Proportional to 427.77, 590.31 and 241.29

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Solution

The fourth proportional to 427.77, 590.31 and 241.29 is: 332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.77 : 590.31 = 241.29 : x
  2. Step 2: Convert to fraction form
    427.77/590.31 = 241.29/x
  3. Step 3: Cross multiply
    427.77x = 590.31 × 241.29
  4. Step 4: Simplify right side
    427.77x = 142,435.90
  5. Step 5: Solve for x
    x = 142,435.90/427.77
  6. Step 6: Final answer
    x = 332.97

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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.