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Finding the Fourth Proportional to 259.59, 389.31 and 77.00

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Solution

The fourth proportional to 259.59, 389.31 and 77.00 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.59 : 389.31 = 77.00 : x
  2. Step 2: Convert to fraction form
    259.59/389.31 = 77.00/x
  3. Step 3: Cross multiply
    259.59x = 389.31 × 77.00
  4. Step 4: Simplify right side
    259.59x = 29,974.92
  5. Step 5: Solve for x
    x = 29,974.92/259.59
  6. Step 6: Final answer
    x = 115.47

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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.