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Finding the Fourth Proportional to 209.85, 314.77 and 65.55

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Solution

The fourth proportional to 209.85, 314.77 and 65.55 is: 98.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 314.77 = 65.55 : x
  2. Step 2: Convert to fraction form
    209.85/314.77 = 65.55/x
  3. Step 3: Cross multiply
    209.85x = 314.77 × 65.55
  4. Step 4: Simplify right side
    209.85x = 20,633.17
  5. Step 5: Solve for x
    x = 20,633.17/209.85
  6. Step 6: Final answer
    x = 98.32

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