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Finding the Fourth Proportional to 512.89, 769.30 and 188.28

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Solution

The fourth proportional to 512.89, 769.30 and 188.28 is: 282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 769.30 = 188.28 : x
  2. Step 2: Convert to fraction form
    512.89/769.30 = 188.28/x
  3. Step 3: Cross multiply
    512.89x = 769.30 × 188.28
  4. Step 4: Simplify right side
    512.89x = 144,843.33
  5. Step 5: Solve for x
    x = 144,843.33/512.89
  6. Step 6: Final answer
    x = 282.41

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Double scale
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Similar ratio
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1.5x scale

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.