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Finding the Fourth Proportional to 419.28, 631.16 and 381.60

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Solution

The fourth proportional to 419.28, 631.16 and 381.60 is: 574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 631.16 = 381.60 : x
  2. Step 2: Convert to fraction form
    419.28/631.16 = 381.60/x
  3. Step 3: Cross multiply
    419.28x = 631.16 × 381.60
  4. Step 4: Simplify right side
    419.28x = 240,850.66
  5. Step 5: Solve for x
    x = 240,850.66/419.28
  6. Step 6: Final answer
    x = 574.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.