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Finding the Fourth Proportional to 259.74, 389.66 and 77.12

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Solution

The fourth proportional to 259.74, 389.66 and 77.12 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.74 : 389.66 = 77.12 : x
  2. Step 2: Convert to fraction form
    259.74/389.66 = 77.12/x
  3. Step 3: Cross multiply
    259.74x = 389.66 × 77.12
  4. Step 4: Simplify right side
    259.74x = 30,050.58
  5. Step 5: Solve for x
    x = 30,050.58/259.74
  6. Step 6: Final answer
    x = 115.69

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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.