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Finding the Fourth Proportional to 377.31, 520.02 and 324.72

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Solution

The fourth proportional to 377.31, 520.02 and 324.72 is: 447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.31 : 520.02 = 324.72 : x
  2. Step 2: Convert to fraction form
    377.31/520.02 = 324.72/x
  3. Step 3: Cross multiply
    377.31x = 520.02 × 324.72
  4. Step 4: Simplify right side
    377.31x = 168,860.89
  5. Step 5: Solve for x
    x = 168,860.89/377.31
  6. Step 6: Final answer
    x = 447.54

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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.