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Finding the Fourth Proportional to 416.63, 624.58 and 142.54

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Solution

The fourth proportional to 416.63, 624.58 and 142.54 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.63 : 624.58 = 142.54 : x
  2. Step 2: Convert to fraction form
    416.63/624.58 = 142.54/x
  3. Step 3: Cross multiply
    416.63x = 624.58 × 142.54
  4. Step 4: Simplify right side
    416.63x = 89,025.72
  5. Step 5: Solve for x
    x = 89,025.72/416.63
  6. Step 6: Final answer
    x = 213.68

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Why These Related Problems?

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