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Finding the Fourth Proportional to 209.54, 289.19 and 116.30

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Solution

The fourth proportional to 209.54, 289.19 and 116.30 is: 160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.54 : 289.19 = 116.30 : x
  2. Step 2: Convert to fraction form
    209.54/289.19 = 116.30/x
  3. Step 3: Cross multiply
    209.54x = 289.19 × 116.30
  4. Step 4: Simplify right side
    209.54x = 33,630.77
  5. Step 5: Solve for x
    x = 33,630.77/209.54
  6. Step 6: Final answer
    x = 160.50

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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.