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Finding the Fourth Proportional to 338.73, 505.23 and 328.47

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Solution

The fourth proportional to 338.73, 505.23 and 328.47 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.73 : 505.23 = 328.47 : x
  2. Step 2: Convert to fraction form
    338.73/505.23 = 328.47/x
  3. Step 3: Cross multiply
    338.73x = 505.23 × 328.47
  4. Step 4: Simplify right side
    338.73x = 165,953.93
  5. Step 5: Solve for x
    x = 165,953.93/338.73
  6. Step 6: Final answer
    x = 489.93

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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.