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Finding the Fourth Proportional to 259.71, 357.89 and 197.29

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Solution

The fourth proportional to 259.71, 357.89 and 197.29 is: 271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 357.89 = 197.29 : x
  2. Step 2: Convert to fraction form
    259.71/357.89 = 197.29/x
  3. Step 3: Cross multiply
    259.71x = 357.89 × 197.29
  4. Step 4: Simplify right side
    259.71x = 70,607.23
  5. Step 5: Solve for x
    x = 70,607.23/259.71
  6. Step 6: Final answer
    x = 271.87

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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.