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Finding the Fourth Proportional to 213.05, 293.91 and 135.38

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Solution

The fourth proportional to 213.05, 293.91 and 135.38 is: 186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 293.91 = 135.38 : x
  2. Step 2: Convert to fraction form
    213.05/293.91 = 135.38/x
  3. Step 3: Cross multiply
    213.05x = 293.91 × 135.38
  4. Step 4: Simplify right side
    213.05x = 39,788.07
  5. Step 5: Solve for x
    x = 39,788.07/213.05
  6. Step 6: Final answer
    x = 186.76

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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.