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Finding the Fourth Proportional to 382.14, 524.50 and 366.30

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Solution

The fourth proportional to 382.14, 524.50 and 366.30 is: 502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 524.50 = 366.30 : x
  2. Step 2: Convert to fraction form
    382.14/524.50 = 366.30/x
  3. Step 3: Cross multiply
    382.14x = 524.50 × 366.30
  4. Step 4: Simplify right side
    382.14x = 192,123.43
  5. Step 5: Solve for x
    x = 192,123.43/382.14
  6. Step 6: Final answer
    x = 502.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.