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Finding the Fourth Proportional to 213.05, 319.37 and 97.57

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Solution

The fourth proportional to 213.05, 319.37 and 97.57 is: 146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 319.37 = 97.57 : x
  2. Step 2: Convert to fraction form
    213.05/319.37 = 97.57/x
  3. Step 3: Cross multiply
    213.05x = 319.37 × 97.57
  4. Step 4: Simplify right side
    213.05x = 31,161.12
  5. Step 5: Solve for x
    x = 31,161.12/213.05
  6. Step 6: Final answer
    x = 146.26

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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.