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Finding the Fourth Proportional to 313.44, 469.62 and 198.06

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Solution

The fourth proportional to 313.44, 469.62 and 198.06 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 469.62 = 198.06 : x
  2. Step 2: Convert to fraction form
    313.44/469.62 = 198.06/x
  3. Step 3: Cross multiply
    313.44x = 469.62 × 198.06
  4. Step 4: Simplify right side
    313.44x = 93,012.94
  5. Step 5: Solve for x
    x = 93,012.94/313.44
  6. Step 6: Final answer
    x = 296.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.