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Finding the Fourth Proportional to 340.42, 469.85 and 241.33

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Solution

The fourth proportional to 340.42, 469.85 and 241.33 is: 333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.42 : 469.85 = 241.33 : x
  2. Step 2: Convert to fraction form
    340.42/469.85 = 241.33/x
  3. Step 3: Cross multiply
    340.42x = 469.85 × 241.33
  4. Step 4: Simplify right side
    340.42x = 113,388.90
  5. Step 5: Solve for x
    x = 113,388.90/340.42
  6. Step 6: Final answer
    x = 333.09

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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.