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Finding the Fourth Proportional to 388.92, 583.10 and 206.40

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Solution

The fourth proportional to 388.92, 583.10 and 206.40 is: 309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.92 : 583.10 = 206.40 : x
  2. Step 2: Convert to fraction form
    388.92/583.10 = 206.40/x
  3. Step 3: Cross multiply
    388.92x = 583.10 × 206.40
  4. Step 4: Simplify right side
    388.92x = 120,351.84
  5. Step 5: Solve for x
    x = 120,351.84/388.92
  6. Step 6: Final answer
    x = 309.45

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