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Finding the Fourth Proportional to 272.67, 378.26 and 259.30

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Solution

The fourth proportional to 272.67, 378.26 and 259.30 is: 359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.67 : 378.26 = 259.30 : x
  2. Step 2: Convert to fraction form
    272.67/378.26 = 259.30/x
  3. Step 3: Cross multiply
    272.67x = 378.26 × 259.30
  4. Step 4: Simplify right side
    272.67x = 98,082.82
  5. Step 5: Solve for x
    x = 98,082.82/272.67
  6. Step 6: Final answer
    x = 359.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.