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Finding the Fourth Proportional to 298.78, 412.10 and 186.78

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Solution

The fourth proportional to 298.78, 412.10 and 186.78 is: 257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.78 : 412.10 = 186.78 : x
  2. Step 2: Convert to fraction form
    298.78/412.10 = 186.78/x
  3. Step 3: Cross multiply
    298.78x = 412.10 × 186.78
  4. Step 4: Simplify right side
    298.78x = 76,972.04
  5. Step 5: Solve for x
    x = 76,972.04/298.78
  6. Step 6: Final answer
    x = 257.62

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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.