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Finding the Fourth Proportional to 241.64, 333.50 and 138.16

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Solution

The fourth proportional to 241.64, 333.50 and 138.16 is: 190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.64 : 333.50 = 138.16 : x
  2. Step 2: Convert to fraction form
    241.64/333.50 = 138.16/x
  3. Step 3: Cross multiply
    241.64x = 333.50 × 138.16
  4. Step 4: Simplify right side
    241.64x = 46,076.36
  5. Step 5: Solve for x
    x = 46,076.36/241.64
  6. Step 6: Final answer
    x = 190.68

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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.