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Finding the Fourth Proportional to 429.84, 644.76 and 105.21

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Solution

The fourth proportional to 429.84, 644.76 and 105.21 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 644.76 = 105.21 : x
  2. Step 2: Convert to fraction form
    429.84/644.76 = 105.21/x
  3. Step 3: Cross multiply
    429.84x = 644.76 × 105.21
  4. Step 4: Simplify right side
    429.84x = 67,835.20
  5. Step 5: Solve for x
    x = 67,835.20/429.84
  6. Step 6: Final answer
    x = 157.82

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