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Finding the Fourth Proportional to 241.76, 333.60 and 142.16

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Solution

The fourth proportional to 241.76, 333.60 and 142.16 is: 196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.76 : 333.60 = 142.16 : x
  2. Step 2: Convert to fraction form
    241.76/333.60 = 142.16/x
  3. Step 3: Cross multiply
    241.76x = 333.60 × 142.16
  4. Step 4: Simplify right side
    241.76x = 47,424.58
  5. Step 5: Solve for x
    x = 47,424.58/241.76
  6. Step 6: Final answer
    x = 196.16

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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.