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Finding the Fourth Proportional to 338.23, 504.53 and 305.42

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Solution

The fourth proportional to 338.23, 504.53 and 305.42 is: 455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 504.53 = 305.42 : x
  2. Step 2: Convert to fraction form
    338.23/504.53 = 305.42/x
  3. Step 3: Cross multiply
    338.23x = 504.53 × 305.42
  4. Step 4: Simplify right side
    338.23x = 154,093.49
  5. Step 5: Solve for x
    x = 154,093.49/338.23
  6. Step 6: Final answer
    x = 455.59

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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.