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Finding the Fourth Proportional to 416.77, 622.18 and 362.11

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Solution

The fourth proportional to 416.77, 622.18 and 362.11 is: 540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.77 : 622.18 = 362.11 : x
  2. Step 2: Convert to fraction form
    416.77/622.18 = 362.11/x
  3. Step 3: Cross multiply
    416.77x = 622.18 × 362.11
  4. Step 4: Simplify right side
    416.77x = 225,297.60
  5. Step 5: Solve for x
    x = 225,297.60/416.77
  6. Step 6: Final answer
    x = 540.58

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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.