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Finding the Fourth Proportional to 213.51, 320.23 and 97.92

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Solution

The fourth proportional to 213.51, 320.23 and 97.92 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.51 : 320.23 = 97.92 : x
  2. Step 2: Convert to fraction form
    213.51/320.23 = 97.92/x
  3. Step 3: Cross multiply
    213.51x = 320.23 × 97.92
  4. Step 4: Simplify right side
    213.51x = 31,356.92
  5. Step 5: Solve for x
    x = 31,356.92/213.51
  6. Step 6: Final answer
    x = 146.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.