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Finding the Fourth Proportional to 209.94, 289.72 and 115.42

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Solution

The fourth proportional to 209.94, 289.72 and 115.42 is: 159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 289.72 = 115.42 : x
  2. Step 2: Convert to fraction form
    209.94/289.72 = 115.42/x
  3. Step 3: Cross multiply
    209.94x = 289.72 × 115.42
  4. Step 4: Simplify right side
    209.94x = 33,439.48
  5. Step 5: Solve for x
    x = 33,439.48/209.94
  6. Step 6: Final answer
    x = 159.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.