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Finding the Fourth Proportional to 288.73, 397.90 and 194.11

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Solution

The fourth proportional to 288.73, 397.90 and 194.11 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.73 : 397.90 = 194.11 : x
  2. Step 2: Convert to fraction form
    288.73/397.90 = 194.11/x
  3. Step 3: Cross multiply
    288.73x = 397.90 × 194.11
  4. Step 4: Simplify right side
    288.73x = 77,236.37
  5. Step 5: Solve for x
    x = 77,236.37/288.73
  6. Step 6: Final answer
    x = 267.50

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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.