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Finding the Fourth Proportional to 259.58, 389.11 and 131.06

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Solution

The fourth proportional to 259.58, 389.11 and 131.06 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.58 : 389.11 = 131.06 : x
  2. Step 2: Convert to fraction form
    259.58/389.11 = 131.06/x
  3. Step 3: Cross multiply
    259.58x = 389.11 × 131.06
  4. Step 4: Simplify right side
    259.58x = 50,996.76
  5. Step 5: Solve for x
    x = 50,996.76/259.58
  6. Step 6: Final answer
    x = 196.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.