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Finding the Fourth Proportional to 655.20, 982.76 and 222.35

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Solution

The fourth proportional to 655.20, 982.76 and 222.35 is: 333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 982.76 = 222.35 : x
  2. Step 2: Convert to fraction form
    655.20/982.76 = 222.35/x
  3. Step 3: Cross multiply
    655.20x = 982.76 × 222.35
  4. Step 4: Simplify right side
    655.20x = 218,510.66
  5. Step 5: Solve for x
    x = 218,510.66/655.20
  6. Step 6: Final answer
    x = 333.50

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1.5x scale

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.