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Finding the Fourth Proportional to 419.54, 629.38 and 176.09

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Solution

The fourth proportional to 419.54, 629.38 and 176.09 is: 264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 629.38 = 176.09 : x
  2. Step 2: Convert to fraction form
    419.54/629.38 = 176.09/x
  3. Step 3: Cross multiply
    419.54x = 629.38 × 176.09
  4. Step 4: Simplify right side
    419.54x = 110,823.94
  5. Step 5: Solve for x
    x = 110,823.94/419.54
  6. Step 6: Final answer
    x = 264.16

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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.