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Finding the Fourth Proportional to 380.24, 569.70 and 265.40

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Solution

The fourth proportional to 380.24, 569.70 and 265.40 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.24 : 569.70 = 265.40 : x
  2. Step 2: Convert to fraction form
    380.24/569.70 = 265.40/x
  3. Step 3: Cross multiply
    380.24x = 569.70 × 265.40
  4. Step 4: Simplify right side
    380.24x = 151,198.38
  5. Step 5: Solve for x
    x = 151,198.38/380.24
  6. Step 6: Final answer
    x = 397.64

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