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Finding the Fourth Proportional to 264.83, 396.91 and 195.80

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Solution

The fourth proportional to 264.83, 396.91 and 195.80 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 396.91 = 195.80 : x
  2. Step 2: Convert to fraction form
    264.83/396.91 = 195.80/x
  3. Step 3: Cross multiply
    264.83x = 396.91 × 195.80
  4. Step 4: Simplify right side
    264.83x = 77,716.18
  5. Step 5: Solve for x
    x = 77,716.18/264.83
  6. Step 6: Final answer
    x = 293.45

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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.