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Finding the Fourth Proportional to 223.03, 334.45 and 78.76

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Solution

The fourth proportional to 223.03, 334.45 and 78.76 is: 118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.03 : 334.45 = 78.76 : x
  2. Step 2: Convert to fraction form
    223.03/334.45 = 78.76/x
  3. Step 3: Cross multiply
    223.03x = 334.45 × 78.76
  4. Step 4: Simplify right side
    223.03x = 26,339.22
  5. Step 5: Solve for x
    x = 26,339.22/223.03
  6. Step 6: Final answer
    x = 118.10

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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.