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Finding the Fourth Proportional to 658.00, 986.99 and 195.78

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Solution

The fourth proportional to 658.00, 986.99 and 195.78 is: 293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.00 : 986.99 = 195.78 : x
  2. Step 2: Convert to fraction form
    658.00/986.99 = 195.78/x
  3. Step 3: Cross multiply
    658.00x = 986.99 × 195.78
  4. Step 4: Simplify right side
    658.00x = 193,232.08
  5. Step 5: Solve for x
    x = 193,232.08/658.00
  6. Step 6: Final answer
    x = 293.67

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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.