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Finding the Fourth Proportional to 416.54, 624.81 and 142.71

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Solution

The fourth proportional to 416.54, 624.81 and 142.71 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 624.81 = 142.71 : x
  2. Step 2: Convert to fraction form
    416.54/624.81 = 142.71/x
  3. Step 3: Cross multiply
    416.54x = 624.81 × 142.71
  4. Step 4: Simplify right side
    416.54x = 89,163.62
  5. Step 5: Solve for x
    x = 89,163.62/416.54
  6. Step 6: Final answer
    x = 214.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.