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Finding the Fourth Proportional to 287.76, 431.64 and 174.48

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Solution

The fourth proportional to 287.76, 431.64 and 174.48 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 431.64 = 174.48 : x
  2. Step 2: Convert to fraction form
    287.76/431.64 = 174.48/x
  3. Step 3: Cross multiply
    287.76x = 431.64 × 174.48
  4. Step 4: Simplify right side
    287.76x = 75,312.55
  5. Step 5: Solve for x
    x = 75,312.55/287.76
  6. Step 6: Final answer
    x = 261.72

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