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Finding the Fourth Proportional to 288.78, 432.81 and 126.24

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Solution

The fourth proportional to 288.78, 432.81 and 126.24 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 432.81 = 126.24 : x
  2. Step 2: Convert to fraction form
    288.78/432.81 = 126.24/x
  3. Step 3: Cross multiply
    288.78x = 432.81 × 126.24
  4. Step 4: Simplify right side
    288.78x = 54,637.93
  5. Step 5: Solve for x
    x = 54,637.93/288.78
  6. Step 6: Final answer
    x = 189.20

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