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Finding the Fourth Proportional to 212.82, 293.36 and 173.64

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Solution

The fourth proportional to 212.82, 293.36 and 173.64 is: 239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.82 : 293.36 = 173.64 : x
  2. Step 2: Convert to fraction form
    212.82/293.36 = 173.64/x
  3. Step 3: Cross multiply
    212.82x = 293.36 × 173.64
  4. Step 4: Simplify right side
    212.82x = 50,938.16
  5. Step 5: Solve for x
    x = 50,938.16/212.82
  6. Step 6: Final answer
    x = 239.35

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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.