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Finding the Fourth Proportional to 361.25, 499.43 and 345.95

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Solution

The fourth proportional to 361.25, 499.43 and 345.95 is: 478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.25 : 499.43 = 345.95 : x
  2. Step 2: Convert to fraction form
    361.25/499.43 = 345.95/x
  3. Step 3: Cross multiply
    361.25x = 499.43 × 345.95
  4. Step 4: Simplify right side
    361.25x = 172,776.08
  5. Step 5: Solve for x
    x = 172,776.08/361.25
  6. Step 6: Final answer
    x = 478.27

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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.