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Finding the Fourth Proportional to 253.74, 380.40 and 172.74

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Solution

The fourth proportional to 253.74, 380.40 and 172.74 is: 258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.74 : 380.40 = 172.74 : x
  2. Step 2: Convert to fraction form
    253.74/380.40 = 172.74/x
  3. Step 3: Cross multiply
    253.74x = 380.40 × 172.74
  4. Step 4: Simplify right side
    253.74x = 65,710.30
  5. Step 5: Solve for x
    x = 65,710.30/253.74
  6. Step 6: Final answer
    x = 258.97

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