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Finding the Fourth Proportional to 338.23, 465.82 and 316.27

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Solution

The fourth proportional to 338.23, 465.82 and 316.27 is: 435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 465.82 = 316.27 : x
  2. Step 2: Convert to fraction form
    338.23/465.82 = 316.27/x
  3. Step 3: Cross multiply
    338.23x = 465.82 × 316.27
  4. Step 4: Simplify right side
    338.23x = 147,324.89
  5. Step 5: Solve for x
    x = 147,324.89/338.23
  6. Step 6: Final answer
    x = 435.58

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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.