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Finding the Fourth Proportional to 377.44, 516.96 and 355.30

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Solution

The fourth proportional to 377.44, 516.96 and 355.30 is: 486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.44 : 516.96 = 355.30 : x
  2. Step 2: Convert to fraction form
    377.44/516.96 = 355.30/x
  3. Step 3: Cross multiply
    377.44x = 516.96 × 355.30
  4. Step 4: Simplify right side
    377.44x = 183,675.89
  5. Step 5: Solve for x
    x = 183,675.89/377.44
  6. Step 6: Final answer
    x = 486.64

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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.