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Finding the Fourth Proportional to 323.91, 486.04 and 129.01

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Solution

The fourth proportional to 323.91, 486.04 and 129.01 is: 193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.91 : 486.04 = 129.01 : x
  2. Step 2: Convert to fraction form
    323.91/486.04 = 129.01/x
  3. Step 3: Cross multiply
    323.91x = 486.04 × 129.01
  4. Step 4: Simplify right side
    323.91x = 62,704.02
  5. Step 5: Solve for x
    x = 62,704.02/323.91
  6. Step 6: Final answer
    x = 193.58

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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.