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Finding the Fourth Proportional to 419.94, 629.82 and 257.22

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Solution

The fourth proportional to 419.94, 629.82 and 257.22 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 629.82 = 257.22 : x
  2. Step 2: Convert to fraction form
    419.94/629.82 = 257.22/x
  3. Step 3: Cross multiply
    419.94x = 629.82 × 257.22
  4. Step 4: Simplify right side
    419.94x = 162,002.30
  5. Step 5: Solve for x
    x = 162,002.30/419.94
  6. Step 6: Final answer
    x = 385.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.