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Finding the Fourth Proportional to 415.92, 626.36 and 362.46

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Solution

The fourth proportional to 415.92, 626.36 and 362.46 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 626.36 = 362.46 : x
  2. Step 2: Convert to fraction form
    415.92/626.36 = 362.46/x
  3. Step 3: Cross multiply
    415.92x = 626.36 × 362.46
  4. Step 4: Simplify right side
    415.92x = 227,028.63
  5. Step 5: Solve for x
    x = 227,028.63/415.92
  6. Step 6: Final answer
    x = 545.85

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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.