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Finding the Fourth Proportional to 524.14, 786.22 and 199.46

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Solution

The fourth proportional to 524.14, 786.22 and 199.46 is: 299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 786.22 = 199.46 : x
  2. Step 2: Convert to fraction form
    524.14/786.22 = 199.46/x
  3. Step 3: Cross multiply
    524.14x = 786.22 × 199.46
  4. Step 4: Simplify right side
    524.14x = 156,819.44
  5. Step 5: Solve for x
    x = 156,819.44/524.14
  6. Step 6: Final answer
    x = 299.19

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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.