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Finding the Fourth Proportional to 223.08, 334.40 and 78.71

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Solution

The fourth proportional to 223.08, 334.40 and 78.71 is: 117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.08 : 334.40 = 78.71 : x
  2. Step 2: Convert to fraction form
    223.08/334.40 = 78.71/x
  3. Step 3: Cross multiply
    223.08x = 334.40 × 78.71
  4. Step 4: Simplify right side
    223.08x = 26,318.56
  5. Step 5: Solve for x
    x = 26,318.56/223.08
  6. Step 6: Final answer
    x = 117.98

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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.