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Finding the Fourth Proportional to 214.83, 321.96 and 128.25

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Solution

The fourth proportional to 214.83, 321.96 and 128.25 is: 192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 321.96 = 128.25 : x
  2. Step 2: Convert to fraction form
    214.83/321.96 = 128.25/x
  3. Step 3: Cross multiply
    214.83x = 321.96 × 128.25
  4. Step 4: Simplify right side
    214.83x = 41,291.37
  5. Step 5: Solve for x
    x = 41,291.37/214.83
  6. Step 6: Final answer
    x = 192.20

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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.