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Finding the Fourth Proportional to 213.14, 293.75 and 154.82

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Solution

The fourth proportional to 213.14, 293.75 and 154.82 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 293.75 = 154.82 : x
  2. Step 2: Convert to fraction form
    213.14/293.75 = 154.82/x
  3. Step 3: Cross multiply
    213.14x = 293.75 × 154.82
  4. Step 4: Simplify right side
    213.14x = 45,477.60
  5. Step 5: Solve for x
    x = 45,477.60/213.14
  6. Step 6: Final answer
    x = 213.37

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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.