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Finding the Fourth Proportional to 418.79, 627.80 and 264.25

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Solution

The fourth proportional to 418.79, 627.80 and 264.25 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.79 : 627.80 = 264.25 : x
  2. Step 2: Convert to fraction form
    418.79/627.80 = 264.25/x
  3. Step 3: Cross multiply
    418.79x = 627.80 × 264.25
  4. Step 4: Simplify right side
    418.79x = 165,896.15
  5. Step 5: Solve for x
    x = 165,896.15/418.79
  6. Step 6: Final answer
    x = 396.13

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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.