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Finding the Fourth Proportional to 293.35, 404.69 and 206.07

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Solution

The fourth proportional to 293.35, 404.69 and 206.07 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.35 : 404.69 = 206.07 : x
  2. Step 2: Convert to fraction form
    293.35/404.69 = 206.07/x
  3. Step 3: Cross multiply
    293.35x = 404.69 × 206.07
  4. Step 4: Simplify right side
    293.35x = 83,394.78
  5. Step 5: Solve for x
    x = 83,394.78/293.35
  6. Step 6: Final answer
    x = 284.28

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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.