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Finding the Fourth Proportional to 272.94, 377.64 and 238.04

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Solution

The fourth proportional to 272.94, 377.64 and 238.04 is: 329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.94 : 377.64 = 238.04 : x
  2. Step 2: Convert to fraction form
    272.94/377.64 = 238.04/x
  3. Step 3: Cross multiply
    272.94x = 377.64 × 238.04
  4. Step 4: Simplify right side
    272.94x = 89,893.43
  5. Step 5: Solve for x
    x = 89,893.43/272.94
  6. Step 6: Final answer
    x = 329.35

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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.