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Finding the Fourth Proportional to 416.31, 626.91 and 362.85

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Solution

The fourth proportional to 416.31, 626.91 and 362.85 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.31 : 626.91 = 362.85 : x
  2. Step 2: Convert to fraction form
    416.31/626.91 = 362.85/x
  3. Step 3: Cross multiply
    416.31x = 626.91 × 362.85
  4. Step 4: Simplify right side
    416.31x = 227,474.29
  5. Step 5: Solve for x
    x = 227,474.29/416.31
  6. Step 6: Final answer
    x = 546.41

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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.