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Finding the Fourth Proportional to 298.63, 412.09 and 193.78

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Solution

The fourth proportional to 298.63, 412.09 and 193.78 is: 267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.63 : 412.09 = 193.78 : x
  2. Step 2: Convert to fraction form
    298.63/412.09 = 193.78/x
  3. Step 3: Cross multiply
    298.63x = 412.09 × 193.78
  4. Step 4: Simplify right side
    298.63x = 79,852.51
  5. Step 5: Solve for x
    x = 79,852.51/298.63
  6. Step 6: Final answer
    x = 267.40

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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.