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Finding the Fourth Proportional to 513.06, 769.41 and 188.37

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Solution

The fourth proportional to 513.06, 769.41 and 188.37 is: 282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.06 : 769.41 = 188.37 : x
  2. Step 2: Convert to fraction form
    513.06/769.41 = 188.37/x
  3. Step 3: Cross multiply
    513.06x = 769.41 × 188.37
  4. Step 4: Simplify right side
    513.06x = 144,933.76
  5. Step 5: Solve for x
    x = 144,933.76/513.06
  6. Step 6: Final answer
    x = 282.49

Related Problems

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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.