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Finding the Fourth Proportional to 215.48, 321.72 and 193.37

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Solution

The fourth proportional to 215.48, 321.72 and 193.37 is: 288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.48 : 321.72 = 193.37 : x
  2. Step 2: Convert to fraction form
    215.48/321.72 = 193.37/x
  3. Step 3: Cross multiply
    215.48x = 321.72 × 193.37
  4. Step 4: Simplify right side
    215.48x = 62,209.39
  5. Step 5: Solve for x
    x = 62,209.39/215.48
  6. Step 6: Final answer
    x = 288.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.