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Finding the Fourth Proportional to 215.80, 323.75 and 94.07

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Solution

The fourth proportional to 215.80, 323.75 and 94.07 is: 141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 323.75 = 94.07 : x
  2. Step 2: Convert to fraction form
    215.80/323.75 = 94.07/x
  3. Step 3: Cross multiply
    215.80x = 323.75 × 94.07
  4. Step 4: Simplify right side
    215.80x = 30,453.07
  5. Step 5: Solve for x
    x = 30,453.07/215.80
  6. Step 6: Final answer
    x = 141.12

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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.