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Finding the Fourth Proportional to 205.93, 309.03 and 185.68

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Solution

The fourth proportional to 205.93, 309.03 and 185.68 is: 278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 309.03 = 185.68 : x
  2. Step 2: Convert to fraction form
    205.93/309.03 = 185.68/x
  3. Step 3: Cross multiply
    205.93x = 309.03 × 185.68
  4. Step 4: Simplify right side
    205.93x = 57,380.69
  5. Step 5: Solve for x
    x = 57,380.69/205.93
  6. Step 6: Final answer
    x = 278.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.