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Finding the Fourth Proportional to 427.58, 590.04 and 241.09

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Solution

The fourth proportional to 427.58, 590.04 and 241.09 is: 332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.58 : 590.04 = 241.09 : x
  2. Step 2: Convert to fraction form
    427.58/590.04 = 241.09/x
  3. Step 3: Cross multiply
    427.58x = 590.04 × 241.09
  4. Step 4: Simplify right side
    427.58x = 142,252.74
  5. Step 5: Solve for x
    x = 142,252.74/427.58
  6. Step 6: Final answer
    x = 332.69

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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.