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Finding the Fourth Proportional to 293.22, 404.64 and 205.74

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Solution

The fourth proportional to 293.22, 404.64 and 205.74 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 404.64 = 205.74 : x
  2. Step 2: Convert to fraction form
    293.22/404.64 = 205.74/x
  3. Step 3: Cross multiply
    293.22x = 404.64 × 205.74
  4. Step 4: Simplify right side
    293.22x = 83,250.63
  5. Step 5: Solve for x
    x = 83,250.63/293.22
  6. Step 6: Final answer
    x = 283.92

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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.