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Finding the Fourth Proportional to 389.74, 583.92 and 206.73

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Solution

The fourth proportional to 389.74, 583.92 and 206.73 is: 309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.74 : 583.92 = 206.73 : x
  2. Step 2: Convert to fraction form
    389.74/583.92 = 206.73/x
  3. Step 3: Cross multiply
    389.74x = 583.92 × 206.73
  4. Step 4: Simplify right side
    389.74x = 120,713.78
  5. Step 5: Solve for x
    x = 120,713.78/389.74
  6. Step 6: Final answer
    x = 309.73

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