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Finding the Fourth Proportional to 215.88, 323.88 and 82.38

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Solution

The fourth proportional to 215.88, 323.88 and 82.38 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 323.88 = 82.38 : x
  2. Step 2: Convert to fraction form
    215.88/323.88 = 82.38/x
  3. Step 3: Cross multiply
    215.88x = 323.88 × 82.38
  4. Step 4: Simplify right side
    215.88x = 26,681.23
  5. Step 5: Solve for x
    x = 26,681.23/215.88
  6. Step 6: Final answer
    x = 123.59

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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.