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Finding the Fourth Proportional to 259.74, 358.83 and 197.78

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Solution

The fourth proportional to 259.74, 358.83 and 197.78 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.74 : 358.83 = 197.78 : x
  2. Step 2: Convert to fraction form
    259.74/358.83 = 197.78/x
  3. Step 3: Cross multiply
    259.74x = 358.83 × 197.78
  4. Step 4: Simplify right side
    259.74x = 70,967.60
  5. Step 5: Solve for x
    x = 70,967.60/259.74
  6. Step 6: Final answer
    x = 273.23

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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.