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Finding the Fourth Proportional to 538.19, 742.37 and 338.83

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Solution

The fourth proportional to 538.19, 742.37 and 338.83 is: 467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.19 : 742.37 = 338.83 : x
  2. Step 2: Convert to fraction form
    538.19/742.37 = 338.83/x
  3. Step 3: Cross multiply
    538.19x = 742.37 × 338.83
  4. Step 4: Simplify right side
    538.19x = 251,537.85
  5. Step 5: Solve for x
    x = 251,537.85/538.19
  6. Step 6: Final answer
    x = 467.37

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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.