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Finding the Fourth Proportional to 415.60, 620.18 and 343.60

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Solution

The fourth proportional to 415.60, 620.18 and 343.60 is: 512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.60 : 620.18 = 343.60 : x
  2. Step 2: Convert to fraction form
    415.60/620.18 = 343.60/x
  3. Step 3: Cross multiply
    415.60x = 620.18 × 343.60
  4. Step 4: Simplify right side
    415.60x = 213,093.85
  5. Step 5: Solve for x
    x = 213,093.85/415.60
  6. Step 6: Final answer
    x = 512.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.