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Finding the Fourth Proportional to 387.77, 531.09 and 369.27

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Solution

The fourth proportional to 387.77, 531.09 and 369.27 is: 505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.77 : 531.09 = 369.27 : x
  2. Step 2: Convert to fraction form
    387.77/531.09 = 369.27/x
  3. Step 3: Cross multiply
    387.77x = 531.09 × 369.27
  4. Step 4: Simplify right side
    387.77x = 196,115.60
  5. Step 5: Solve for x
    x = 196,115.60/387.77
  6. Step 6: Final answer
    x = 505.76

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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.