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Finding the Fourth Proportional to 298.47, 409.23 and 277.14

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Solution

The fourth proportional to 298.47, 409.23 and 277.14 is: 379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.47 : 409.23 = 277.14 : x
  2. Step 2: Convert to fraction form
    298.47/409.23 = 277.14/x
  3. Step 3: Cross multiply
    298.47x = 409.23 × 277.14
  4. Step 4: Simplify right side
    298.47x = 113,414.00
  5. Step 5: Solve for x
    x = 113,414.00/298.47
  6. Step 6: Final answer
    x = 379.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.