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Finding the Fourth Proportional to 267.81, 370.08 and 194.01

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Solution

The fourth proportional to 267.81, 370.08 and 194.01 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.81 : 370.08 = 194.01 : x
  2. Step 2: Convert to fraction form
    267.81/370.08 = 194.01/x
  3. Step 3: Cross multiply
    267.81x = 370.08 × 194.01
  4. Step 4: Simplify right side
    267.81x = 71,799.22
  5. Step 5: Solve for x
    x = 71,799.22/267.81
  6. Step 6: Final answer
    x = 268.10

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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.