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Finding the Fourth Proportional to 268.07, 370.25 and 198.01

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Solution

The fourth proportional to 268.07, 370.25 and 198.01 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.07 : 370.25 = 198.01 : x
  2. Step 2: Convert to fraction form
    268.07/370.25 = 198.01/x
  3. Step 3: Cross multiply
    268.07x = 370.25 × 198.01
  4. Step 4: Simplify right side
    268.07x = 73,313.20
  5. Step 5: Solve for x
    x = 73,313.20/268.07
  6. Step 6: Final answer
    x = 273.49

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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.