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Finding the Fourth Proportional to 214.63, 321.99 and 86.38

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Solution

The fourth proportional to 214.63, 321.99 and 86.38 is: 129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.63 : 321.99 = 86.38 : x
  2. Step 2: Convert to fraction form
    214.63/321.99 = 86.38/x
  3. Step 3: Cross multiply
    214.63x = 321.99 × 86.38
  4. Step 4: Simplify right side
    214.63x = 27,811.45
  5. Step 5: Solve for x
    x = 27,811.45/214.63
  6. Step 6: Final answer
    x = 129.58

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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.