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Finding the Fourth Proportional to 338.42, 504.64 and 301.97

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Solution

The fourth proportional to 338.42, 504.64 and 301.97 is: 450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 504.64 = 301.97 : x
  2. Step 2: Convert to fraction form
    338.42/504.64 = 301.97/x
  3. Step 3: Cross multiply
    338.42x = 504.64 × 301.97
  4. Step 4: Simplify right side
    338.42x = 152,386.14
  5. Step 5: Solve for x
    x = 152,386.14/338.42
  6. Step 6: Final answer
    x = 450.29

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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.