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Finding the Fourth Proportional to 262.03, 360.51 and 199.49

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Solution

The fourth proportional to 262.03, 360.51 and 199.49 is: 274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.03 : 360.51 = 199.49 : x
  2. Step 2: Convert to fraction form
    262.03/360.51 = 199.49/x
  3. Step 3: Cross multiply
    262.03x = 360.51 × 199.49
  4. Step 4: Simplify right side
    262.03x = 71,918.14
  5. Step 5: Solve for x
    x = 71,918.14/262.03
  6. Step 6: Final answer
    x = 274.47

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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.