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Finding the Fourth Proportional to 655.70, 983.28 and 222.80

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Solution

The fourth proportional to 655.70, 983.28 and 222.80 is: 334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 983.28 = 222.80 : x
  2. Step 2: Convert to fraction form
    655.70/983.28 = 222.80/x
  3. Step 3: Cross multiply
    655.70x = 983.28 × 222.80
  4. Step 4: Simplify right side
    655.70x = 219,074.78
  5. Step 5: Solve for x
    x = 219,074.78/655.70
  6. Step 6: Final answer
    x = 334.11

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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.