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Finding the Fourth Proportional to 298.90, 412.80 and 205.88

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Solution

The fourth proportional to 298.90, 412.80 and 205.88 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.90 : 412.80 = 205.88 : x
  2. Step 2: Convert to fraction form
    298.90/412.80 = 205.88/x
  3. Step 3: Cross multiply
    298.90x = 412.80 × 205.88
  4. Step 4: Simplify right side
    298.90x = 84,987.26
  5. Step 5: Solve for x
    x = 84,987.26/298.90
  6. Step 6: Final answer
    x = 284.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.