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Finding the Fourth Proportional to 223.68, 335.04 and 138.08

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Solution

The fourth proportional to 223.68, 335.04 and 138.08 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.68 : 335.04 = 138.08 : x
  2. Step 2: Convert to fraction form
    223.68/335.04 = 138.08/x
  3. Step 3: Cross multiply
    223.68x = 335.04 × 138.08
  4. Step 4: Simplify right side
    223.68x = 46,262.32
  5. Step 5: Solve for x
    x = 46,262.32/223.68
  6. Step 6: Final answer
    x = 206.82

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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.