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Finding the Fourth Proportional to 287.72, 396.58 and 199.33

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Solution

The fourth proportional to 287.72, 396.58 and 199.33 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.72 : 396.58 = 199.33 : x
  2. Step 2: Convert to fraction form
    287.72/396.58 = 199.33/x
  3. Step 3: Cross multiply
    287.72x = 396.58 × 199.33
  4. Step 4: Simplify right side
    287.72x = 79,048.80
  5. Step 5: Solve for x
    x = 79,048.80/287.72
  6. Step 6: Final answer
    x = 274.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.