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Finding the Fourth Proportional to 416.80, 627.68 and 363.34

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Solution

The fourth proportional to 416.80, 627.68 and 363.34 is: 547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 627.68 = 363.34 : x
  2. Step 2: Convert to fraction form
    416.80/627.68 = 363.34/x
  3. Step 3: Cross multiply
    416.80x = 627.68 × 363.34
  4. Step 4: Simplify right side
    416.80x = 228,061.25
  5. Step 5: Solve for x
    x = 228,061.25/416.80
  6. Step 6: Final answer
    x = 547.17

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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.