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Finding the Fourth Proportional to 215.86, 323.82 and 77.07

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Solution

The fourth proportional to 215.86, 323.82 and 77.07 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.86 : 323.82 = 77.07 : x
  2. Step 2: Convert to fraction form
    215.86/323.82 = 77.07/x
  3. Step 3: Cross multiply
    215.86x = 323.82 × 77.07
  4. Step 4: Simplify right side
    215.86x = 24,957.12
  5. Step 5: Solve for x
    x = 24,957.12/215.86
  6. Step 6: Final answer
    x = 115.62

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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.