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Finding the Fourth Proportional to 385.96, 535.84 and 374.08

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Solution

The fourth proportional to 385.96, 535.84 and 374.08 is: 519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.96 : 535.84 = 374.08 : x
  2. Step 2: Convert to fraction form
    385.96/535.84 = 374.08/x
  3. Step 3: Cross multiply
    385.96x = 535.84 × 374.08
  4. Step 4: Simplify right side
    385.96x = 200,447.03
  5. Step 5: Solve for x
    x = 200,447.03/385.96
  6. Step 6: Final answer
    x = 519.35

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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.