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Finding the Fourth Proportional to 259.25, 388.88 and 129.34

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Solution

The fourth proportional to 259.25, 388.88 and 129.34 is: 194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 388.88 = 129.34 : x
  2. Step 2: Convert to fraction form
    259.25/388.88 = 129.34/x
  3. Step 3: Cross multiply
    259.25x = 388.88 × 129.34
  4. Step 4: Simplify right side
    259.25x = 50,297.74
  5. Step 5: Solve for x
    x = 50,297.74/259.25
  6. Step 6: Final answer
    x = 194.01

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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.