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Finding the Fourth Proportional to 387.26, 531.22 and 377.66

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Solution

The fourth proportional to 387.26, 531.22 and 377.66 is: 518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.26 : 531.22 = 377.66 : x
  2. Step 2: Convert to fraction form
    387.26/531.22 = 377.66/x
  3. Step 3: Cross multiply
    387.26x = 531.22 × 377.66
  4. Step 4: Simplify right side
    387.26x = 200,620.55
  5. Step 5: Solve for x
    x = 200,620.55/387.26
  6. Step 6: Final answer
    x = 518.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.