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Finding the Fourth Proportional to 382.28, 572.90 and 186.98

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Solution

The fourth proportional to 382.28, 572.90 and 186.98 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.28 : 572.90 = 186.98 : x
  2. Step 2: Convert to fraction form
    382.28/572.90 = 186.98/x
  3. Step 3: Cross multiply
    382.28x = 572.90 × 186.98
  4. Step 4: Simplify right side
    382.28x = 107,117.98
  5. Step 5: Solve for x
    x = 107,117.98/382.28
  6. Step 6: Final answer
    x = 280.21

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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.