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Finding the Fourth Proportional to 215.39, 323.23 and 93.68

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Solution

The fourth proportional to 215.39, 323.23 and 93.68 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 323.23 = 93.68 : x
  2. Step 2: Convert to fraction form
    215.39/323.23 = 93.68/x
  3. Step 3: Cross multiply
    215.39x = 323.23 × 93.68
  4. Step 4: Simplify right side
    215.39x = 30,280.76
  5. Step 5: Solve for x
    x = 30,280.76/215.39
  6. Step 6: Final answer
    x = 140.59

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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.