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Finding the Fourth Proportional to 259.43, 358.49 and 197.15

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Solution

The fourth proportional to 259.43, 358.49 and 197.15 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.43 : 358.49 = 197.15 : x
  2. Step 2: Convert to fraction form
    259.43/358.49 = 197.15/x
  3. Step 3: Cross multiply
    259.43x = 358.49 × 197.15
  4. Step 4: Simplify right side
    259.43x = 70,676.21
  5. Step 5: Solve for x
    x = 70,676.21/259.43
  6. Step 6: Final answer
    x = 272.43

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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.