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Finding the Fourth Proportional to 213.34, 293.75 and 186.96

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Solution

The fourth proportional to 213.34, 293.75 and 186.96 is: 257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 293.75 = 186.96 : x
  2. Step 2: Convert to fraction form
    213.34/293.75 = 186.96/x
  3. Step 3: Cross multiply
    213.34x = 293.75 × 186.96
  4. Step 4: Simplify right side
    213.34x = 54,919.50
  5. Step 5: Solve for x
    x = 54,919.50/213.34
  6. Step 6: Final answer
    x = 257.43

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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.