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Finding the Fourth Proportional to 309.12, 463.98 and 164.94

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Solution

The fourth proportional to 309.12, 463.98 and 164.94 is: 247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 463.98 = 164.94 : x
  2. Step 2: Convert to fraction form
    309.12/463.98 = 164.94/x
  3. Step 3: Cross multiply
    309.12x = 463.98 × 164.94
  4. Step 4: Simplify right side
    309.12x = 76,528.86
  5. Step 5: Solve for x
    x = 76,528.86/309.12
  6. Step 6: Final answer
    x = 247.57

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