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Finding the Fourth Proportional to 656.18, 984.06 and 223.22

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Solution

The fourth proportional to 656.18, 984.06 and 223.22 is: 334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.18 : 984.06 = 223.22 : x
  2. Step 2: Convert to fraction form
    656.18/984.06 = 223.22/x
  3. Step 3: Cross multiply
    656.18x = 984.06 × 223.22
  4. Step 4: Simplify right side
    656.18x = 219,661.87
  5. Step 5: Solve for x
    x = 219,661.87/656.18
  6. Step 6: Final answer
    x = 334.76

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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.