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Finding the Fourth Proportional to 215.69, 296.96 and 168.99

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Solution

The fourth proportional to 215.69, 296.96 and 168.99 is: 232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.69 : 296.96 = 168.99 : x
  2. Step 2: Convert to fraction form
    215.69/296.96 = 168.99/x
  3. Step 3: Cross multiply
    215.69x = 296.96 × 168.99
  4. Step 4: Simplify right side
    215.69x = 50,182.43
  5. Step 5: Solve for x
    x = 50,182.43/215.69
  6. Step 6: Final answer
    x = 232.67

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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.