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Finding the Fourth Proportional to 364.80, 506.72 and 353.92

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Solution

The fourth proportional to 364.80, 506.72 and 353.92 is: 491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 506.72 = 353.92 : x
  2. Step 2: Convert to fraction form
    364.80/506.72 = 353.92/x
  3. Step 3: Cross multiply
    364.80x = 506.72 × 353.92
  4. Step 4: Simplify right side
    364.80x = 179,338.34
  5. Step 5: Solve for x
    x = 179,338.34/364.80
  6. Step 6: Final answer
    x = 491.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.