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Finding the Fourth Proportional to 215.11, 296.56 and 168.30

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Solution

The fourth proportional to 215.11, 296.56 and 168.30 is: 232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.11 : 296.56 = 168.30 : x
  2. Step 2: Convert to fraction form
    215.11/296.56 = 168.30/x
  3. Step 3: Cross multiply
    215.11x = 296.56 × 168.30
  4. Step 4: Simplify right side
    215.11x = 49,908.72
  5. Step 5: Solve for x
    x = 49,908.72/215.11
  6. Step 6: Final answer
    x = 232.02

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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.