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Finding the Fourth Proportional to 416.08, 624.07 and 142.20

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Solution

The fourth proportional to 416.08, 624.07 and 142.20 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.08 : 624.07 = 142.20 : x
  2. Step 2: Convert to fraction form
    416.08/624.07 = 142.20/x
  3. Step 3: Cross multiply
    416.08x = 624.07 × 142.20
  4. Step 4: Simplify right side
    416.08x = 88,742.93
  5. Step 5: Solve for x
    x = 88,742.93/416.08
  6. Step 6: Final answer
    x = 213.28

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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.