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Finding the Fourth Proportional to 385.86, 531.68 and 269.22

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Solution

The fourth proportional to 385.86, 531.68 and 269.22 is: 370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.86 : 531.68 = 269.22 : x
  2. Step 2: Convert to fraction form
    385.86/531.68 = 269.22/x
  3. Step 3: Cross multiply
    385.86x = 531.68 × 269.22
  4. Step 4: Simplify right side
    385.86x = 143,138.89
  5. Step 5: Solve for x
    x = 143,138.89/385.86
  6. Step 6: Final answer
    x = 370.96

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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.