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Finding the Fourth Proportional to 288.59, 398.09 and 194.10

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Solution

The fourth proportional to 288.59, 398.09 and 194.10 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.59 : 398.09 = 194.10 : x
  2. Step 2: Convert to fraction form
    288.59/398.09 = 194.10/x
  3. Step 3: Cross multiply
    288.59x = 398.09 × 194.10
  4. Step 4: Simplify right side
    288.59x = 77,268.30
  5. Step 5: Solve for x
    x = 77,268.30/288.59
  6. Step 6: Final answer
    x = 267.74

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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.