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Finding the Fourth Proportional to 416.13, 620.94 and 357.81

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Solution

The fourth proportional to 416.13, 620.94 and 357.81 is: 533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.13 : 620.94 = 357.81 : x
  2. Step 2: Convert to fraction form
    416.13/620.94 = 357.81/x
  3. Step 3: Cross multiply
    416.13x = 620.94 × 357.81
  4. Step 4: Simplify right side
    416.13x = 222,178.54
  5. Step 5: Solve for x
    x = 222,178.54/416.13
  6. Step 6: Final answer
    x = 533.92

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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.