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Finding the Fourth Proportional to 385.38, 531.90 and 268.88

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Solution

The fourth proportional to 385.38, 531.90 and 268.88 is: 371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.38 : 531.90 = 268.88 : x
  2. Step 2: Convert to fraction form
    385.38/531.90 = 268.88/x
  3. Step 3: Cross multiply
    385.38x = 531.90 × 268.88
  4. Step 4: Simplify right side
    385.38x = 143,014.61
  5. Step 5: Solve for x
    x = 143,014.61/385.38
  6. Step 6: Final answer
    x = 371.10

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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.