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Finding the Fourth Proportional to 379.32, 520.27 and 369.72

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Solution

The fourth proportional to 379.32, 520.27 and 369.72 is: 507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.32 : 520.27 = 369.72 : x
  2. Step 2: Convert to fraction form
    379.32/520.27 = 369.72/x
  3. Step 3: Cross multiply
    379.32x = 520.27 × 369.72
  4. Step 4: Simplify right side
    379.32x = 192,354.22
  5. Step 5: Solve for x
    x = 192,354.22/379.32
  6. Step 6: Final answer
    x = 507.10

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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.