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Finding the Fourth Proportional to 305.39, 420.94 and 238.88

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Solution

The fourth proportional to 305.39, 420.94 and 238.88 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.39 : 420.94 = 238.88 : x
  2. Step 2: Convert to fraction form
    305.39/420.94 = 238.88/x
  3. Step 3: Cross multiply
    305.39x = 420.94 × 238.88
  4. Step 4: Simplify right side
    305.39x = 100,554.83
  5. Step 5: Solve for x
    x = 100,554.83/305.39
  6. Step 6: Final answer
    x = 329.27

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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.