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Finding the Fourth Proportional to 460.42, 690.64 and 135.78

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Solution

The fourth proportional to 460.42, 690.64 and 135.78 is: 203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 690.64 = 135.78 : x
  2. Step 2: Convert to fraction form
    460.42/690.64 = 135.78/x
  3. Step 3: Cross multiply
    460.42x = 690.64 × 135.78
  4. Step 4: Simplify right side
    460.42x = 93,775.10
  5. Step 5: Solve for x
    x = 93,775.10/460.42
  6. Step 6: Final answer
    x = 203.67

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