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Finding the Fourth Proportional to 298.48, 412.05 and 199.06

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Solution

The fourth proportional to 298.48, 412.05 and 199.06 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.48 : 412.05 = 199.06 : x
  2. Step 2: Convert to fraction form
    298.48/412.05 = 199.06/x
  3. Step 3: Cross multiply
    298.48x = 412.05 × 199.06
  4. Step 4: Simplify right side
    298.48x = 82,022.67
  5. Step 5: Solve for x
    x = 82,022.67/298.48
  6. Step 6: Final answer
    x = 274.80

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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.