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Finding the Fourth Proportional to 212.81, 319.19 and 97.25

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Solution

The fourth proportional to 212.81, 319.19 and 97.25 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 319.19 = 97.25 : x
  2. Step 2: Convert to fraction form
    212.81/319.19 = 97.25/x
  3. Step 3: Cross multiply
    212.81x = 319.19 × 97.25
  4. Step 4: Simplify right side
    212.81x = 31,041.54
  5. Step 5: Solve for x
    x = 31,041.54/212.81
  6. Step 6: Final answer
    x = 145.86

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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.