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Finding the Fourth Proportional to 188.20, 259.88 and 133.04

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Solution

The fourth proportional to 188.20, 259.88 and 133.04 is: 183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.20 : 259.88 = 133.04 : x
  2. Step 2: Convert to fraction form
    188.20/259.88 = 133.04/x
  3. Step 3: Cross multiply
    188.20x = 259.88 × 133.04
  4. Step 4: Simplify right side
    188.20x = 34,574.44
  5. Step 5: Solve for x
    x = 34,574.44/188.20
  6. Step 6: Final answer
    x = 183.71

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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.