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Finding the Fourth Proportional to 419.11, 627.51 and 316.09

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Solution

The fourth proportional to 419.11, 627.51 and 316.09 is: 473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.11 : 627.51 = 316.09 : x
  2. Step 2: Convert to fraction form
    419.11/627.51 = 316.09/x
  3. Step 3: Cross multiply
    419.11x = 627.51 × 316.09
  4. Step 4: Simplify right side
    419.11x = 198,349.64
  5. Step 5: Solve for x
    x = 198,349.64/419.11
  6. Step 6: Final answer
    x = 473.26

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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.