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Finding the Fourth Proportional to 199.40, 273.54 and 186.98

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Solution

The fourth proportional to 199.40, 273.54 and 186.98 is: 256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.40 : 273.54 = 186.98 : x
  2. Step 2: Convert to fraction form
    199.40/273.54 = 186.98/x
  3. Step 3: Cross multiply
    199.40x = 273.54 × 186.98
  4. Step 4: Simplify right side
    199.40x = 51,145.84
  5. Step 5: Solve for x
    x = 51,145.84/199.40
  6. Step 6: Final answer
    x = 256.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.