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Finding the Fourth Proportional to 416.60, 621.67 and 344.60

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Solution

The fourth proportional to 416.60, 621.67 and 344.60 is: 514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.60 : 621.67 = 344.60 : x
  2. Step 2: Convert to fraction form
    416.60/621.67 = 344.60/x
  3. Step 3: Cross multiply
    416.60x = 621.67 × 344.60
  4. Step 4: Simplify right side
    416.60x = 214,227.48
  5. Step 5: Solve for x
    x = 214,227.48/416.60
  6. Step 6: Final answer
    x = 514.23

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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.