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Finding the Fourth Proportional to 297.77, 411.03 and 199.49

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Solution

The fourth proportional to 297.77, 411.03 and 199.49 is: 275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.77 : 411.03 = 199.49 : x
  2. Step 2: Convert to fraction form
    297.77/411.03 = 199.49/x
  3. Step 3: Cross multiply
    297.77x = 411.03 × 199.49
  4. Step 4: Simplify right side
    297.77x = 81,994.32
  5. Step 5: Solve for x
    x = 81,994.32/297.77
  6. Step 6: Final answer
    x = 275.37

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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.