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Finding the Fourth Proportional to 199.01, 274.23 and 143.64

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Solution

The fourth proportional to 199.01, 274.23 and 143.64 is: 197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.01 : 274.23 = 143.64 : x
  2. Step 2: Convert to fraction form
    199.01/274.23 = 143.64/x
  3. Step 3: Cross multiply
    199.01x = 274.23 × 143.64
  4. Step 4: Simplify right side
    199.01x = 39,390.40
  5. Step 5: Solve for x
    x = 39,390.40/199.01
  6. Step 6: Final answer
    x = 197.93

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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.