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Finding the Fourth Proportional to 212.45, 292.41 and 181.26

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Solution

The fourth proportional to 212.45, 292.41 and 181.26 is: 249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.45 : 292.41 = 181.26 : x
  2. Step 2: Convert to fraction form
    212.45/292.41 = 181.26/x
  3. Step 3: Cross multiply
    212.45x = 292.41 × 181.26
  4. Step 4: Simplify right side
    212.45x = 53,002.24
  5. Step 5: Solve for x
    x = 53,002.24/212.45
  6. Step 6: Final answer
    x = 249.49

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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.