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Finding the Fourth Proportional to 215.55, 296.93 and 171.81

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Solution

The fourth proportional to 215.55, 296.93 and 171.81 is: 236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.55 : 296.93 = 171.81 : x
  2. Step 2: Convert to fraction form
    215.55/296.93 = 171.81/x
  3. Step 3: Cross multiply
    215.55x = 296.93 × 171.81
  4. Step 4: Simplify right side
    215.55x = 51,015.97
  5. Step 5: Solve for x
    x = 51,015.97/215.55
  6. Step 6: Final answer
    x = 236.68

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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.