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Finding the Fourth Proportional to 338.04, 503.82 and 328.32

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Solution

The fourth proportional to 338.04, 503.82 and 328.32 is: 489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 503.82 = 328.32 : x
  2. Step 2: Convert to fraction form
    338.04/503.82 = 328.32/x
  3. Step 3: Cross multiply
    338.04x = 503.82 × 328.32
  4. Step 4: Simplify right side
    338.04x = 165,414.18
  5. Step 5: Solve for x
    x = 165,414.18/338.04
  6. Step 6: Final answer
    x = 489.33

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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.