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Finding the Fourth Proportional to 215.91, 298.08 and 171.59

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Solution

The fourth proportional to 215.91, 298.08 and 171.59 is: 236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.91 : 298.08 = 171.59 : x
  2. Step 2: Convert to fraction form
    215.91/298.08 = 171.59/x
  3. Step 3: Cross multiply
    215.91x = 298.08 × 171.59
  4. Step 4: Simplify right side
    215.91x = 51,147.17
  5. Step 5: Solve for x
    x = 51,147.17/215.91
  6. Step 6: Final answer
    x = 236.89

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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.