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Finding the Fourth Proportional to 241.39, 332.87 and 206.54

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Solution

The fourth proportional to 241.39, 332.87 and 206.54 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.39 : 332.87 = 206.54 : x
  2. Step 2: Convert to fraction form
    241.39/332.87 = 206.54/x
  3. Step 3: Cross multiply
    241.39x = 332.87 × 206.54
  4. Step 4: Simplify right side
    241.39x = 68,748.79
  5. Step 5: Solve for x
    x = 68,748.79/241.39
  6. Step 6: Final answer
    x = 284.80

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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.