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Finding the Fourth Proportional to 241.78, 332.99 and 224.77

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Solution

The fourth proportional to 241.78, 332.99 and 224.77 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.78 : 332.99 = 224.77 : x
  2. Step 2: Convert to fraction form
    241.78/332.99 = 224.77/x
  3. Step 3: Cross multiply
    241.78x = 332.99 × 224.77
  4. Step 4: Simplify right side
    241.78x = 74,846.16
  5. Step 5: Solve for x
    x = 74,846.16/241.78
  6. Step 6: Final answer
    x = 309.56

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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.