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Finding the Fourth Proportional to 212.75, 319.01 and 109.93

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Solution

The fourth proportional to 212.75, 319.01 and 109.93 is: 164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.75 : 319.01 = 109.93 : x
  2. Step 2: Convert to fraction form
    212.75/319.01 = 109.93/x
  3. Step 3: Cross multiply
    212.75x = 319.01 × 109.93
  4. Step 4: Simplify right side
    212.75x = 35,068.77
  5. Step 5: Solve for x
    x = 35,068.77/212.75
  6. Step 6: Final answer
    x = 164.84

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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.