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Finding the Fourth Proportional to 655.45, 983.22 and 193.30

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Solution

The fourth proportional to 655.45, 983.22 and 193.30 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.45 : 983.22 = 193.30 : x
  2. Step 2: Convert to fraction form
    655.45/983.22 = 193.30/x
  3. Step 3: Cross multiply
    655.45x = 983.22 × 193.30
  4. Step 4: Simplify right side
    655.45x = 190,056.43
  5. Step 5: Solve for x
    x = 190,056.43/655.45
  6. Step 6: Final answer
    x = 289.96

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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.