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Finding the Fourth Proportional to 298.85, 412.56 and 205.63

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Solution

The fourth proportional to 298.85, 412.56 and 205.63 is: 283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 412.56 = 205.63 : x
  2. Step 2: Convert to fraction form
    298.85/412.56 = 205.63/x
  3. Step 3: Cross multiply
    298.85x = 412.56 × 205.63
  4. Step 4: Simplify right side
    298.85x = 84,834.71
  5. Step 5: Solve for x
    x = 84,834.71/298.85
  6. Step 6: Final answer
    x = 283.87

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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.