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Finding the Fourth Proportional to 259.45, 388.46 and 130.93

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Solution

The fourth proportional to 259.45, 388.46 and 130.93 is: 196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 388.46 = 130.93 : x
  2. Step 2: Convert to fraction form
    259.45/388.46 = 130.93/x
  3. Step 3: Cross multiply
    259.45x = 388.46 × 130.93
  4. Step 4: Simplify right side
    259.45x = 50,860.41
  5. Step 5: Solve for x
    x = 50,860.41/259.45
  6. Step 6: Final answer
    x = 196.03

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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.