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Finding the Fourth Proportional to 656.00, 983.86 and 217.27

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Solution

The fourth proportional to 656.00, 983.86 and 217.27 is: 325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.00 : 983.86 = 217.27 : x
  2. Step 2: Convert to fraction form
    656.00/983.86 = 217.27/x
  3. Step 3: Cross multiply
    656.00x = 983.86 × 217.27
  4. Step 4: Simplify right side
    656.00x = 213,759.64
  5. Step 5: Solve for x
    x = 213,759.64/656.00
  6. Step 6: Final answer
    x = 325.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.