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Finding the Fourth Proportional to 416.92, 575.49 and 351.76

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Solution

The fourth proportional to 416.92, 575.49 and 351.76 is: 485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.92 : 575.49 = 351.76 : x
  2. Step 2: Convert to fraction form
    416.92/575.49 = 351.76/x
  3. Step 3: Cross multiply
    416.92x = 575.49 × 351.76
  4. Step 4: Simplify right side
    416.92x = 202,434.36
  5. Step 5: Solve for x
    x = 202,434.36/416.92
  6. Step 6: Final answer
    x = 485.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.