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Finding the Fourth Proportional to 385.57, 531.93 and 269.20

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Solution

The fourth proportional to 385.57, 531.93 and 269.20 is: 371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 531.93 = 269.20 : x
  2. Step 2: Convert to fraction form
    385.57/531.93 = 269.20/x
  3. Step 3: Cross multiply
    385.57x = 531.93 × 269.20
  4. Step 4: Simplify right side
    385.57x = 143,195.56
  5. Step 5: Solve for x
    x = 143,195.56/385.57
  6. Step 6: Final answer
    x = 371.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.