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Finding the Fourth Proportional to 389.55, 583.75 and 206.38

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Solution

The fourth proportional to 389.55, 583.75 and 206.38 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.55 : 583.75 = 206.38 : x
  2. Step 2: Convert to fraction form
    389.55/583.75 = 206.38/x
  3. Step 3: Cross multiply
    389.55x = 583.75 × 206.38
  4. Step 4: Simplify right side
    389.55x = 120,474.33
  5. Step 5: Solve for x
    x = 120,474.33/389.55
  6. Step 6: Final answer
    x = 309.27

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