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Finding the Fourth Proportional to 524.09, 786.26 and 199.28

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Solution

The fourth proportional to 524.09, 786.26 and 199.28 is: 298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 786.26 = 199.28 : x
  2. Step 2: Convert to fraction form
    524.09/786.26 = 199.28/x
  3. Step 3: Cross multiply
    524.09x = 786.26 × 199.28
  4. Step 4: Simplify right side
    524.09x = 156,681.96
  5. Step 5: Solve for x
    x = 156,681.96/524.09
  6. Step 6: Final answer
    x = 298.96

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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.