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Finding the Fourth Proportional to 188.75, 282.80 and 130.79

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Solution

The fourth proportional to 188.75, 282.80 and 130.79 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.75 : 282.80 = 130.79 : x
  2. Step 2: Convert to fraction form
    188.75/282.80 = 130.79/x
  3. Step 3: Cross multiply
    188.75x = 282.80 × 130.79
  4. Step 4: Simplify right side
    188.75x = 36,988.45
  5. Step 5: Solve for x
    x = 36,988.45/188.75
  6. Step 6: Final answer
    x = 195.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.