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Finding the Fourth Proportional to 338.04, 465.75 and 238.41

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Solution

The fourth proportional to 338.04, 465.75 and 238.41 is: 328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 465.75 = 238.41 : x
  2. Step 2: Convert to fraction form
    338.04/465.75 = 238.41/x
  3. Step 3: Cross multiply
    338.04x = 465.75 × 238.41
  4. Step 4: Simplify right side
    338.04x = 111,039.46
  5. Step 5: Solve for x
    x = 111,039.46/338.04
  6. Step 6: Final answer
    x = 328.48

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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.