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Finding the Fourth Proportional to 419.16, 627.46 and 264.54

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Solution

The fourth proportional to 419.16, 627.46 and 264.54 is: 396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.16 : 627.46 = 264.54 : x
  2. Step 2: Convert to fraction form
    419.16/627.46 = 264.54/x
  3. Step 3: Cross multiply
    419.16x = 627.46 × 264.54
  4. Step 4: Simplify right side
    419.16x = 165,988.27
  5. Step 5: Solve for x
    x = 165,988.27/419.16
  6. Step 6: Final answer
    x = 396.00

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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.