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Finding the Fourth Proportional to 524.40, 786.12 and 199.68

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Solution

The fourth proportional to 524.40, 786.12 and 199.68 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 786.12 = 199.68 : x
  2. Step 2: Convert to fraction form
    524.40/786.12 = 199.68/x
  3. Step 3: Cross multiply
    524.40x = 786.12 × 199.68
  4. Step 4: Simplify right side
    524.40x = 156,972.44
  5. Step 5: Solve for x
    x = 156,972.44/524.40
  6. Step 6: Final answer
    x = 299.34

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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.