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Finding the Fourth Proportional to 213.66, 320.16 and 97.96

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Solution

The fourth proportional to 213.66, 320.16 and 97.96 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 320.16 = 97.96 : x
  2. Step 2: Convert to fraction form
    213.66/320.16 = 97.96/x
  3. Step 3: Cross multiply
    213.66x = 320.16 × 97.96
  4. Step 4: Simplify right side
    213.66x = 31,362.87
  5. Step 5: Solve for x
    x = 31,362.87/213.66
  6. Step 6: Final answer
    x = 146.79

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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.