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Finding the Fourth Proportional to 297.12, 409.94 and 186.66

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Solution

The fourth proportional to 297.12, 409.94 and 186.66 is: 257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.12 : 409.94 = 186.66 : x
  2. Step 2: Convert to fraction form
    297.12/409.94 = 186.66/x
  3. Step 3: Cross multiply
    297.12x = 409.94 × 186.66
  4. Step 4: Simplify right side
    297.12x = 76,519.40
  5. Step 5: Solve for x
    x = 76,519.40/297.12
  6. Step 6: Final answer
    x = 257.54

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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.