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Finding the Fourth Proportional to 259.88, 388.64 and 198.20

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Solution

The fourth proportional to 259.88, 388.64 and 198.20 is: 296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 388.64 = 198.20 : x
  2. Step 2: Convert to fraction form
    259.88/388.64 = 198.20/x
  3. Step 3: Cross multiply
    259.88x = 388.64 × 198.20
  4. Step 4: Simplify right side
    259.88x = 77,026.63
  5. Step 5: Solve for x
    x = 77,026.63/259.88
  6. Step 6: Final answer
    x = 296.40

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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.