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Finding the Fourth Proportional to 199.58, 301.14 and 192.38

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Solution

The fourth proportional to 199.58, 301.14 and 192.38 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.58 : 301.14 = 192.38 : x
  2. Step 2: Convert to fraction form
    199.58/301.14 = 192.38/x
  3. Step 3: Cross multiply
    199.58x = 301.14 × 192.38
  4. Step 4: Simplify right side
    199.58x = 57,933.31
  5. Step 5: Solve for x
    x = 57,933.31/199.58
  6. Step 6: Final answer
    x = 290.28

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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.