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Finding the Fourth Proportional to 298.27, 410.83 and 278.11

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Solution

The fourth proportional to 298.27, 410.83 and 278.11 is: 383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.27 : 410.83 = 278.11 : x
  2. Step 2: Convert to fraction form
    298.27/410.83 = 278.11/x
  3. Step 3: Cross multiply
    298.27x = 410.83 × 278.11
  4. Step 4: Simplify right side
    298.27x = 114,255.93
  5. Step 5: Solve for x
    x = 114,255.93/298.27
  6. Step 6: Final answer
    x = 383.06

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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.