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Finding the Fourth Proportional to 238.04, 354.83 and 211.88

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Solution

The fourth proportional to 238.04, 354.83 and 211.88 is: 315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 354.83 = 211.88 : x
  2. Step 2: Convert to fraction form
    238.04/354.83 = 211.88/x
  3. Step 3: Cross multiply
    238.04x = 354.83 × 211.88
  4. Step 4: Simplify right side
    238.04x = 75,181.38
  5. Step 5: Solve for x
    x = 75,181.38/238.04
  6. Step 6: Final answer
    x = 315.84

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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.