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Finding the Fourth Proportional to 259.71, 389.58 and 137.97

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Solution

The fourth proportional to 259.71, 389.58 and 137.97 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 389.58 = 137.97 : x
  2. Step 2: Convert to fraction form
    259.71/389.58 = 137.97/x
  3. Step 3: Cross multiply
    259.71x = 389.58 × 137.97
  4. Step 4: Simplify right side
    259.71x = 53,750.35
  5. Step 5: Solve for x
    x = 53,750.35/259.71
  6. Step 6: Final answer
    x = 206.96

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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.