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Finding the Fourth Proportional to 364.72, 500.77 and 355.21

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Solution

The fourth proportional to 364.72, 500.77 and 355.21 is: 487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.72 : 500.77 = 355.21 : x
  2. Step 2: Convert to fraction form
    364.72/500.77 = 355.21/x
  3. Step 3: Cross multiply
    364.72x = 500.77 × 355.21
  4. Step 4: Simplify right side
    364.72x = 177,877.03
  5. Step 5: Solve for x
    x = 177,877.03/364.72
  6. Step 6: Final answer
    x = 487.71

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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.