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Finding the Fourth Proportional to 338.16, 505.23 and 298.05

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Solution

The fourth proportional to 338.16, 505.23 and 298.05 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 505.23 = 298.05 : x
  2. Step 2: Convert to fraction form
    338.16/505.23 = 298.05/x
  3. Step 3: Cross multiply
    338.16x = 505.23 × 298.05
  4. Step 4: Simplify right side
    338.16x = 150,583.80
  5. Step 5: Solve for x
    x = 150,583.80/338.16
  6. Step 6: Final answer
    x = 445.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.