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Finding the Fourth Proportional to 655.42, 983.13 and 193.22

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Solution

The fourth proportional to 655.42, 983.13 and 193.22 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.42 : 983.13 = 193.22 : x
  2. Step 2: Convert to fraction form
    655.42/983.13 = 193.22/x
  3. Step 3: Cross multiply
    655.42x = 983.13 × 193.22
  4. Step 4: Simplify right side
    655.42x = 189,960.38
  5. Step 5: Solve for x
    x = 189,960.38/655.42
  6. Step 6: Final answer
    x = 289.83

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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.