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Finding the Fourth Proportional to 76.59, 114.85 and 30.90

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Solution

The fourth proportional to 76.59, 114.85 and 30.90 is: 46.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.59 : 114.85 = 30.90 : x
  2. Step 2: Convert to fraction form
    76.59/114.85 = 30.90/x
  3. Step 3: Cross multiply
    76.59x = 114.85 × 30.90
  4. Step 4: Simplify right side
    76.59x = 3,548.87
  5. Step 5: Solve for x
    x = 3,548.87/76.59
  6. Step 6: Final answer
    x = 46.34

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