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Finding the Fourth Proportional to 215.99, 324 and 106.23

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Solution

The fourth proportional to 215.99, 324 and 106.23 is: 159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.99 : 324 = 106.23 : x
  2. Step 2: Convert to fraction form
    215.99/324 = 106.23/x
  3. Step 3: Cross multiply
    215.99x = 324 × 106.23
  4. Step 4: Simplify right side
    215.99x = 34,418.52
  5. Step 5: Solve for x
    x = 34,418.52/215.99
  6. Step 6: Final answer
    x = 159.36

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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.