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Finding the Fourth Proportional to 272.19, 375.50 and 189.49

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Solution

The fourth proportional to 272.19, 375.50 and 189.49 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.19 : 375.50 = 189.49 : x
  2. Step 2: Convert to fraction form
    272.19/375.50 = 189.49/x
  3. Step 3: Cross multiply
    272.19x = 375.50 × 189.49
  4. Step 4: Simplify right side
    272.19x = 71,153.50
  5. Step 5: Solve for x
    x = 71,153.50/272.19
  6. Step 6: Final answer
    x = 261.41

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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.