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Finding the Fourth Proportional to 338.09, 465.62 and 330.93

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Solution

The fourth proportional to 338.09, 465.62 and 330.93 is: 455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.09 : 465.62 = 330.93 : x
  2. Step 2: Convert to fraction form
    338.09/465.62 = 330.93/x
  3. Step 3: Cross multiply
    338.09x = 465.62 × 330.93
  4. Step 4: Simplify right side
    338.09x = 154,085.97
  5. Step 5: Solve for x
    x = 154,085.97/338.09
  6. Step 6: Final answer
    x = 455.76

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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.