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Finding the Fourth Proportional to 385.27, 534.11 and 364.48

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Solution

The fourth proportional to 385.27, 534.11 and 364.48 is: 505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.27 : 534.11 = 364.48 : x
  2. Step 2: Convert to fraction form
    385.27/534.11 = 364.48/x
  3. Step 3: Cross multiply
    385.27x = 534.11 × 364.48
  4. Step 4: Simplify right side
    385.27x = 194,672.41
  5. Step 5: Solve for x
    x = 194,672.41/385.27
  6. Step 6: Final answer
    x = 505.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.