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Finding the Fourth Proportional to 223.27, 334.85 and 78.99

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Solution

The fourth proportional to 223.27, 334.85 and 78.99 is: 118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.27 : 334.85 = 78.99 : x
  2. Step 2: Convert to fraction form
    223.27/334.85 = 78.99/x
  3. Step 3: Cross multiply
    223.27x = 334.85 × 78.99
  4. Step 4: Simplify right side
    223.27x = 26,448.15
  5. Step 5: Solve for x
    x = 26,448.15/223.27
  6. Step 6: Final answer
    x = 118.46

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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.