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Finding the Fourth Proportional to 297.33, 410.37 and 186.87

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Solution

The fourth proportional to 297.33, 410.37 and 186.87 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.33 : 410.37 = 186.87 : x
  2. Step 2: Convert to fraction form
    297.33/410.37 = 186.87/x
  3. Step 3: Cross multiply
    297.33x = 410.37 × 186.87
  4. Step 4: Simplify right side
    297.33x = 76,685.84
  5. Step 5: Solve for x
    x = 76,685.84/297.33
  6. Step 6: Final answer
    x = 257.91

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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.