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Finding the Fourth Proportional to 419.75, 629.72 and 176.48

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Solution

The fourth proportional to 419.75, 629.72 and 176.48 is: 264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.75 : 629.72 = 176.48 : x
  2. Step 2: Convert to fraction form
    419.75/629.72 = 176.48/x
  3. Step 3: Cross multiply
    419.75x = 629.72 × 176.48
  4. Step 4: Simplify right side
    419.75x = 111,132.10
  5. Step 5: Solve for x
    x = 111,132.10/419.75
  6. Step 6: Final answer
    x = 264.76

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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.