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Finding the Fourth Proportional to 419.01, 627.18 and 265.08

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Solution

The fourth proportional to 419.01, 627.18 and 265.08 is: 396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.01 : 627.18 = 265.08 : x
  2. Step 2: Convert to fraction form
    419.01/627.18 = 265.08/x
  3. Step 3: Cross multiply
    419.01x = 627.18 × 265.08
  4. Step 4: Simplify right side
    419.01x = 166,252.87
  5. Step 5: Solve for x
    x = 166,252.87/419.01
  6. Step 6: Final answer
    x = 396.78

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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.