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Finding the Fourth Proportional to 743.22, 1,114.97 and 256.14

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Solution

The fourth proportional to 743.22, 1,114.97 and 256.14 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.22 : 1,114.97 = 256.14 : x
  2. Step 2: Convert to fraction form
    743.22/1,114.97 = 256.14/x
  3. Step 3: Cross multiply
    743.22x = 1,114.97 × 256.14
  4. Step 4: Simplify right side
    743.22x = 285,587.14
  5. Step 5: Solve for x
    x = 285,587.14/743.22
  6. Step 6: Final answer
    x = 384.26

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