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Finding the Fourth Proportional to 209.59, 289.14 and 135.91

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Solution

The fourth proportional to 209.59, 289.14 and 135.91 is: 187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 289.14 = 135.91 : x
  2. Step 2: Convert to fraction form
    209.59/289.14 = 135.91/x
  3. Step 3: Cross multiply
    209.59x = 289.14 × 135.91
  4. Step 4: Simplify right side
    209.59x = 39,297.02
  5. Step 5: Solve for x
    x = 39,297.02/209.59
  6. Step 6: Final answer
    x = 187.49

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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.