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Finding the Fourth Proportional to 385.04, 527.92 and 378.11

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Solution

The fourth proportional to 385.04, 527.92 and 378.11 is: 518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.04 : 527.92 = 378.11 : x
  2. Step 2: Convert to fraction form
    385.04/527.92 = 378.11/x
  3. Step 3: Cross multiply
    385.04x = 527.92 × 378.11
  4. Step 4: Simplify right side
    385.04x = 199,607.30
  5. Step 5: Solve for x
    x = 199,607.30/385.04
  6. Step 6: Final answer
    x = 518.41

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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.