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Finding the Fourth Proportional to 416.82, 627.55 and 368.35

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Solution

The fourth proportional to 416.82, 627.55 and 368.35 is: 554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.82 : 627.55 = 368.35 : x
  2. Step 2: Convert to fraction form
    416.82/627.55 = 368.35/x
  3. Step 3: Cross multiply
    416.82x = 627.55 × 368.35
  4. Step 4: Simplify right side
    416.82x = 231,157.91
  5. Step 5: Solve for x
    x = 231,157.91/416.82
  6. Step 6: Final answer
    x = 554.57

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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.