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Finding the Fourth Proportional to 416.92, 621.75 and 370.30

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Solution

The fourth proportional to 416.92, 621.75 and 370.30 is: 552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.92 : 621.75 = 370.30 : x
  2. Step 2: Convert to fraction form
    416.92/621.75 = 370.30/x
  3. Step 3: Cross multiply
    416.92x = 621.75 × 370.30
  4. Step 4: Simplify right side
    416.92x = 230,234.03
  5. Step 5: Solve for x
    x = 230,234.03/416.92
  6. Step 6: Final answer
    x = 552.23

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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.