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Finding the Fourth Proportional to 215.91, 324.15 and 134.49

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Solution

The fourth proportional to 215.91, 324.15 and 134.49 is: 201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.91 : 324.15 = 134.49 : x
  2. Step 2: Convert to fraction form
    215.91/324.15 = 134.49/x
  3. Step 3: Cross multiply
    215.91x = 324.15 × 134.49
  4. Step 4: Simplify right side
    215.91x = 43,594.93
  5. Step 5: Solve for x
    x = 43,594.93/215.91
  6. Step 6: Final answer
    x = 201.91

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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.