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Finding the Fourth Proportional to 338.63, 466.09 and 301.77

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Solution

The fourth proportional to 338.63, 466.09 and 301.77 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 466.09 = 301.77 : x
  2. Step 2: Convert to fraction form
    338.63/466.09 = 301.77/x
  3. Step 3: Cross multiply
    338.63x = 466.09 × 301.77
  4. Step 4: Simplify right side
    338.63x = 140,651.22
  5. Step 5: Solve for x
    x = 140,651.22/338.63
  6. Step 6: Final answer
    x = 415.36

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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.