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Finding the Fourth Proportional to 215.94, 323.79 and 142.50

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Solution

The fourth proportional to 215.94, 323.79 and 142.50 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 323.79 = 142.50 : x
  2. Step 2: Convert to fraction form
    215.94/323.79 = 142.50/x
  3. Step 3: Cross multiply
    215.94x = 323.79 × 142.50
  4. Step 4: Simplify right side
    215.94x = 46,140.08
  5. Step 5: Solve for x
    x = 46,140.08/215.94
  6. Step 6: Final answer
    x = 213.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.