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Finding the Fourth Proportional to 241.78, 333.64 and 143.53

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Solution

The fourth proportional to 241.78, 333.64 and 143.53 is: 198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.78 : 333.64 = 143.53 : x
  2. Step 2: Convert to fraction form
    241.78/333.64 = 143.53/x
  3. Step 3: Cross multiply
    241.78x = 333.64 × 143.53
  4. Step 4: Simplify right side
    241.78x = 47,887.95
  5. Step 5: Solve for x
    x = 47,887.95/241.78
  6. Step 6: Final answer
    x = 198.07

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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.