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Finding the Fourth Proportional to 378.65, 522.28 and 365.96

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Solution

The fourth proportional to 378.65, 522.28 and 365.96 is: 504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 522.28 = 365.96 : x
  2. Step 2: Convert to fraction form
    378.65/522.28 = 365.96/x
  3. Step 3: Cross multiply
    378.65x = 522.28 × 365.96
  4. Step 4: Simplify right side
    378.65x = 191,129.15
  5. Step 5: Solve for x
    x = 191,129.15/378.65
  6. Step 6: Final answer
    x = 504.76

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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.