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Finding the Fourth Proportional to 215.39, 323.09 and 92.01

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Solution

The fourth proportional to 215.39, 323.09 and 92.01 is: 138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 323.09 = 92.01 : x
  2. Step 2: Convert to fraction form
    215.39/323.09 = 92.01/x
  3. Step 3: Cross multiply
    215.39x = 323.09 × 92.01
  4. Step 4: Simplify right side
    215.39x = 29,727.51
  5. Step 5: Solve for x
    x = 29,727.51/215.39
  6. Step 6: Final answer
    x = 138.02

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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.