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Finding the Fourth Proportional to 212.42, 319.75 and 181.10

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Solution

The fourth proportional to 212.42, 319.75 and 181.10 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.42 : 319.75 = 181.10 : x
  2. Step 2: Convert to fraction form
    212.42/319.75 = 181.10/x
  3. Step 3: Cross multiply
    212.42x = 319.75 × 181.10
  4. Step 4: Simplify right side
    212.42x = 57,908.09
  5. Step 5: Solve for x
    x = 57,908.09/212.42
  6. Step 6: Final answer
    x = 272.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.