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Finding the Fourth Proportional to 268.34, 370.10 and 198.63

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Solution

The fourth proportional to 268.34, 370.10 and 198.63 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 370.10 = 198.63 : x
  2. Step 2: Convert to fraction form
    268.34/370.10 = 198.63/x
  3. Step 3: Cross multiply
    268.34x = 370.10 × 198.63
  4. Step 4: Simplify right side
    268.34x = 73,513.46
  5. Step 5: Solve for x
    x = 73,513.46/268.34
  6. Step 6: Final answer
    x = 273.96

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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.