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Finding the Fourth Proportional to 427.96, 590.57 and 241.43

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Solution

The fourth proportional to 427.96, 590.57 and 241.43 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.96 : 590.57 = 241.43 : x
  2. Step 2: Convert to fraction form
    427.96/590.57 = 241.43/x
  3. Step 3: Cross multiply
    427.96x = 590.57 × 241.43
  4. Step 4: Simplify right side
    427.96x = 142,580.11
  5. Step 5: Solve for x
    x = 142,580.11/427.96
  6. Step 6: Final answer
    x = 333.17

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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.