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Finding the Fourth Proportional to 385.50, 532.26 and 268.86

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Solution

The fourth proportional to 385.50, 532.26 and 268.86 is: 371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 532.26 = 268.86 : x
  2. Step 2: Convert to fraction form
    385.50/532.26 = 268.86/x
  3. Step 3: Cross multiply
    385.50x = 532.26 × 268.86
  4. Step 4: Simplify right side
    385.50x = 143,103.42
  5. Step 5: Solve for x
    x = 143,103.42/385.50
  6. Step 6: Final answer
    x = 371.22

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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.