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Finding the Fourth Proportional to 253.78, 380.76 and 91.47

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Solution

The fourth proportional to 253.78, 380.76 and 91.47 is: 137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.78 : 380.76 = 91.47 : x
  2. Step 2: Convert to fraction form
    253.78/380.76 = 91.47/x
  3. Step 3: Cross multiply
    253.78x = 380.76 × 91.47
  4. Step 4: Simplify right side
    253.78x = 34,828.12
  5. Step 5: Solve for x
    x = 34,828.12/253.78
  6. Step 6: Final answer
    x = 137.24

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