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Finding the Fourth Proportional to 215.88, 324.33 and 129.45

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Solution

The fourth proportional to 215.88, 324.33 and 129.45 is: 194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 324.33 = 129.45 : x
  2. Step 2: Convert to fraction form
    215.88/324.33 = 129.45/x
  3. Step 3: Cross multiply
    215.88x = 324.33 × 129.45
  4. Step 4: Simplify right side
    215.88x = 41,984.52
  5. Step 5: Solve for x
    x = 41,984.52/215.88
  6. Step 6: Final answer
    x = 194.48

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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.