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Finding the Fourth Proportional to 238.14, 354.76 and 229.44

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Solution

The fourth proportional to 238.14, 354.76 and 229.44 is: 341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 354.76 = 229.44 : x
  2. Step 2: Convert to fraction form
    238.14/354.76 = 229.44/x
  3. Step 3: Cross multiply
    238.14x = 354.76 × 229.44
  4. Step 4: Simplify right side
    238.14x = 81,396.13
  5. Step 5: Solve for x
    x = 81,396.13/238.14
  6. Step 6: Final answer
    x = 341.80

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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.