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Finding the Fourth Proportional to 215.94, 323.91 and 87.69

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Solution

The fourth proportional to 215.94, 323.91 and 87.69 is: 131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 323.91 = 87.69 : x
  2. Step 2: Convert to fraction form
    215.94/323.91 = 87.69/x
  3. Step 3: Cross multiply
    215.94x = 323.91 × 87.69
  4. Step 4: Simplify right side
    215.94x = 28,403.23
  5. Step 5: Solve for x
    x = 28,403.23/215.94
  6. Step 6: Final answer
    x = 131.53

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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.