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Finding the Fourth Proportional to 209.25, 288.66 and 135.60

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Solution

The fourth proportional to 209.25, 288.66 and 135.60 is: 187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 288.66 = 135.60 : x
  2. Step 2: Convert to fraction form
    209.25/288.66 = 135.60/x
  3. Step 3: Cross multiply
    209.25x = 288.66 × 135.60
  4. Step 4: Simplify right side
    209.25x = 39,142.30
  5. Step 5: Solve for x
    x = 39,142.30/209.25
  6. Step 6: Final answer
    x = 187.06

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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.