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Finding the Fourth Proportional to 272.34, 375.88 and 199

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Solution

The fourth proportional to 272.34, 375.88 and 199 is: 274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.34 : 375.88 = 199 : x
  2. Step 2: Convert to fraction form
    272.34/375.88 = 199/x
  3. Step 3: Cross multiply
    272.34x = 375.88 × 199
  4. Step 4: Simplify right side
    272.34x = 74,800.12
  5. Step 5: Solve for x
    x = 74,800.12/272.34
  6. Step 6: Final answer
    x = 274.66

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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.