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Finding the Fourth Proportional to 215.84, 323.77 and 78.99

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Solution

The fourth proportional to 215.84, 323.77 and 78.99 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.84 : 323.77 = 78.99 : x
  2. Step 2: Convert to fraction form
    215.84/323.77 = 78.99/x
  3. Step 3: Cross multiply
    215.84x = 323.77 × 78.99
  4. Step 4: Simplify right side
    215.84x = 25,574.39
  5. Step 5: Solve for x
    x = 25,574.39/215.84
  6. Step 6: Final answer
    x = 118.49

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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.