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Finding the Fourth Proportional to 435.42, 653.00 and 161.46

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Solution

The fourth proportional to 435.42, 653.00 and 161.46 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.42 : 653.00 = 161.46 : x
  2. Step 2: Convert to fraction form
    435.42/653.00 = 161.46/x
  3. Step 3: Cross multiply
    435.42x = 653.00 × 161.46
  4. Step 4: Simplify right side
    435.42x = 105,432.57
  5. Step 5: Solve for x
    x = 105,432.57/435.42
  6. Step 6: Final answer
    x = 242.14

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