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Finding the Fourth Proportional to 259.92, 390.08 and 191.44

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Solution

The fourth proportional to 259.92, 390.08 and 191.44 is: 287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 390.08 = 191.44 : x
  2. Step 2: Convert to fraction form
    259.92/390.08 = 191.44/x
  3. Step 3: Cross multiply
    259.92x = 390.08 × 191.44
  4. Step 4: Simplify right side
    259.92x = 74,676.92
  5. Step 5: Solve for x
    x = 74,676.92/259.92
  6. Step 6: Final answer
    x = 287.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.