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Finding the Fourth Proportional to 199.90, 297.84 and 189.44

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Solution

The fourth proportional to 199.90, 297.84 and 189.44 is: 282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.90 : 297.84 = 189.44 : x
  2. Step 2: Convert to fraction form
    199.90/297.84 = 189.44/x
  3. Step 3: Cross multiply
    199.90x = 297.84 × 189.44
  4. Step 4: Simplify right side
    199.90x = 56,423.15
  5. Step 5: Solve for x
    x = 56,423.15/199.90
  6. Step 6: Final answer
    x = 282.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.