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Finding the Fourth Proportional to 297.06, 447.86 and 276.18

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Solution

The fourth proportional to 297.06, 447.86 and 276.18 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.06 : 447.86 = 276.18 : x
  2. Step 2: Convert to fraction form
    297.06/447.86 = 276.18/x
  3. Step 3: Cross multiply
    297.06x = 447.86 × 276.18
  4. Step 4: Simplify right side
    297.06x = 123,688.59
  5. Step 5: Solve for x
    x = 123,688.59/297.06
  6. Step 6: Final answer
    x = 416.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.