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Finding the Fourth Proportional to 212.84, 319.34 and 110.06

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Solution

The fourth proportional to 212.84, 319.34 and 110.06 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 319.34 = 110.06 : x
  2. Step 2: Convert to fraction form
    212.84/319.34 = 110.06/x
  3. Step 3: Cross multiply
    212.84x = 319.34 × 110.06
  4. Step 4: Simplify right side
    212.84x = 35,147.04
  5. Step 5: Solve for x
    x = 35,147.04/212.84
  6. Step 6: Final answer
    x = 165.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.