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Finding the Fourth Proportional to 199.34, 300.28 and 184.31

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Solution

The fourth proportional to 199.34, 300.28 and 184.31 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 300.28 = 184.31 : x
  2. Step 2: Convert to fraction form
    199.34/300.28 = 184.31/x
  3. Step 3: Cross multiply
    199.34x = 300.28 × 184.31
  4. Step 4: Simplify right side
    199.34x = 55,342.64
  5. Step 5: Solve for x
    x = 55,342.64/199.34
  6. Step 6: Final answer
    x = 277.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.