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Finding the Fourth Proportional to 321.89, 482.96 and 136.84

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Solution

The fourth proportional to 321.89, 482.96 and 136.84 is: 205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.89 : 482.96 = 136.84 : x
  2. Step 2: Convert to fraction form
    321.89/482.96 = 136.84/x
  3. Step 3: Cross multiply
    321.89x = 482.96 × 136.84
  4. Step 4: Simplify right side
    321.89x = 66,088.25
  5. Step 5: Solve for x
    x = 66,088.25/321.89
  6. Step 6: Final answer
    x = 205.31

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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.