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Finding the Fourth Proportional to 212.45, 293.31 and 133.79

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Solution

The fourth proportional to 212.45, 293.31 and 133.79 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.45 : 293.31 = 133.79 : x
  2. Step 2: Convert to fraction form
    212.45/293.31 = 133.79/x
  3. Step 3: Cross multiply
    212.45x = 293.31 × 133.79
  4. Step 4: Simplify right side
    212.45x = 39,240.48
  5. Step 5: Solve for x
    x = 39,240.48/212.45
  6. Step 6: Final answer
    x = 184.71

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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.