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Finding the Fourth Proportional to 297.09, 411.64 and 290.61

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Solution

The fourth proportional to 297.09, 411.64 and 290.61 is: 402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 411.64 = 290.61 : x
  2. Step 2: Convert to fraction form
    297.09/411.64 = 290.61/x
  3. Step 3: Cross multiply
    297.09x = 411.64 × 290.61
  4. Step 4: Simplify right side
    297.09x = 119,625.97
  5. Step 5: Solve for x
    x = 119,625.97/297.09
  6. Step 6: Final answer
    x = 402.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.