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Finding the Fourth Proportional to 656.13, 984.21 and 217.24

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Solution

The fourth proportional to 656.13, 984.21 and 217.24 is: 325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.13 : 984.21 = 217.24 : x
  2. Step 2: Convert to fraction form
    656.13/984.21 = 217.24/x
  3. Step 3: Cross multiply
    656.13x = 984.21 × 217.24
  4. Step 4: Simplify right side
    656.13x = 213,809.78
  5. Step 5: Solve for x
    x = 213,809.78/656.13
  6. Step 6: Final answer
    x = 325.86

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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.