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Finding the Fourth Proportional to 333.19, 459.66 and 198.57

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Solution

The fourth proportional to 333.19, 459.66 and 198.57 is: 273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.19 : 459.66 = 198.57 : x
  2. Step 2: Convert to fraction form
    333.19/459.66 = 198.57/x
  3. Step 3: Cross multiply
    333.19x = 459.66 × 198.57
  4. Step 4: Simplify right side
    333.19x = 91,271.40
  5. Step 5: Solve for x
    x = 91,271.40/333.19
  6. Step 6: Final answer
    x = 273.94

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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.