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Finding the Fourth Proportional to 416.68, 627.85 and 346.12

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Solution

The fourth proportional to 416.68, 627.85 and 346.12 is: 521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 627.85 = 346.12 : x
  2. Step 2: Convert to fraction form
    416.68/627.85 = 346.12/x
  3. Step 3: Cross multiply
    416.68x = 627.85 × 346.12
  4. Step 4: Simplify right side
    416.68x = 217,311.44
  5. Step 5: Solve for x
    x = 217,311.44/416.68
  6. Step 6: Final answer
    x = 521.53

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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.