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Finding the Fourth Proportional to 293.29, 403.68 and 205.81

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Solution

The fourth proportional to 293.29, 403.68 and 205.81 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 403.68 = 205.81 : x
  2. Step 2: Convert to fraction form
    293.29/403.68 = 205.81/x
  3. Step 3: Cross multiply
    293.29x = 403.68 × 205.81
  4. Step 4: Simplify right side
    293.29x = 83,081.14
  5. Step 5: Solve for x
    x = 83,081.14/293.29
  6. Step 6: Final answer
    x = 283.28

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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.