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Finding the Fourth Proportional to 213.93, 320.90 and 128.25

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Solution

The fourth proportional to 213.93, 320.90 and 128.25 is: 192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.93 : 320.90 = 128.25 : x
  2. Step 2: Convert to fraction form
    213.93/320.90 = 128.25/x
  3. Step 3: Cross multiply
    213.93x = 320.90 × 128.25
  4. Step 4: Simplify right side
    213.93x = 41,154.78
  5. Step 5: Solve for x
    x = 41,154.78/213.93
  6. Step 6: Final answer
    x = 192.38

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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.