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Finding the Fourth Proportional to 419.24, 629.16 and 310.70

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Solution

The fourth proportional to 419.24, 629.16 and 310.70 is: 466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.24 : 629.16 = 310.70 : x
  2. Step 2: Convert to fraction form
    419.24/629.16 = 310.70/x
  3. Step 3: Cross multiply
    419.24x = 629.16 × 310.70
  4. Step 4: Simplify right side
    419.24x = 195,480.01
  5. Step 5: Solve for x
    x = 195,480.01/419.24
  6. Step 6: Final answer
    x = 466.27

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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.