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Finding the Fourth Proportional to 380.27, 569.15 and 288.46

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Solution

The fourth proportional to 380.27, 569.15 and 288.46 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.27 : 569.15 = 288.46 : x
  2. Step 2: Convert to fraction form
    380.27/569.15 = 288.46/x
  3. Step 3: Cross multiply
    380.27x = 569.15 × 288.46
  4. Step 4: Simplify right side
    380.27x = 164,178.17
  5. Step 5: Solve for x
    x = 164,178.17/380.27
  6. Step 6: Final answer
    x = 431.74

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