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Finding the Fourth Proportional to 213.14, 319.72 and 66.89

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Solution

The fourth proportional to 213.14, 319.72 and 66.89 is: 100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.14 : 319.72 = 66.89 : x
  2. Step 2: Convert to fraction form
    213.14/319.72 = 66.89/x
  3. Step 3: Cross multiply
    213.14x = 319.72 × 66.89
  4. Step 4: Simplify right side
    213.14x = 21,386.70
  5. Step 5: Solve for x
    x = 21,386.70/213.14
  6. Step 6: Final answer
    x = 100.34

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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.