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Finding the Fourth Proportional to 272.72, 376.08 and 195.20

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Solution

The fourth proportional to 272.72, 376.08 and 195.20 is: 269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.72 : 376.08 = 195.20 : x
  2. Step 2: Convert to fraction form
    272.72/376.08 = 195.20/x
  3. Step 3: Cross multiply
    272.72x = 376.08 × 195.20
  4. Step 4: Simplify right side
    272.72x = 73,410.82
  5. Step 5: Solve for x
    x = 73,410.82/272.72
  6. Step 6: Final answer
    x = 269.18

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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.