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Finding the Fourth Proportional to 209.58, 289.31 and 135.96

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Solution

The fourth proportional to 209.58, 289.31 and 135.96 is: 187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 289.31 = 135.96 : x
  2. Step 2: Convert to fraction form
    209.58/289.31 = 135.96/x
  3. Step 3: Cross multiply
    209.58x = 289.31 × 135.96
  4. Step 4: Simplify right side
    209.58x = 39,333.91
  5. Step 5: Solve for x
    x = 39,333.91/209.58
  6. Step 6: Final answer
    x = 187.68

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