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Finding the Fourth Proportional to 427.98, 590.64 and 241.51

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Solution

The fourth proportional to 427.98, 590.64 and 241.51 is: 333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 590.64 = 241.51 : x
  2. Step 2: Convert to fraction form
    427.98/590.64 = 241.51/x
  3. Step 3: Cross multiply
    427.98x = 590.64 × 241.51
  4. Step 4: Simplify right side
    427.98x = 142,645.47
  5. Step 5: Solve for x
    x = 142,645.47/427.98
  6. Step 6: Final answer
    x = 333.30

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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.