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Finding the Fourth Proportional to 215.93, 297.47 and 166.73

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Solution

The fourth proportional to 215.93, 297.47 and 166.73 is: 229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 297.47 = 166.73 : x
  2. Step 2: Convert to fraction form
    215.93/297.47 = 166.73/x
  3. Step 3: Cross multiply
    215.93x = 297.47 × 166.73
  4. Step 4: Simplify right side
    215.93x = 49,596.10
  5. Step 5: Solve for x
    x = 49,596.10/215.93
  6. Step 6: Final answer
    x = 229.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.