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Finding the Fourth Proportional to 259.97, 358.51 and 197.81

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Solution

The fourth proportional to 259.97, 358.51 and 197.81 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 358.51 = 197.81 : x
  2. Step 2: Convert to fraction form
    259.97/358.51 = 197.81/x
  3. Step 3: Cross multiply
    259.97x = 358.51 × 197.81
  4. Step 4: Simplify right side
    259.97x = 70,914.08
  5. Step 5: Solve for x
    x = 70,914.08/259.97
  6. Step 6: Final answer
    x = 272.78

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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.