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Finding the Fourth Proportional to 212.96, 319.34 and 66.69

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Solution

The fourth proportional to 212.96, 319.34 and 66.69 is: 100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 319.34 = 66.69 : x
  2. Step 2: Convert to fraction form
    212.96/319.34 = 66.69/x
  3. Step 3: Cross multiply
    212.96x = 319.34 × 66.69
  4. Step 4: Simplify right side
    212.96x = 21,296.95
  5. Step 5: Solve for x
    x = 21,296.95/212.96
  6. Step 6: Final answer
    x = 100.00

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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.