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Finding the Fourth Proportional to 416.87, 622.77 and 269.42

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Solution

The fourth proportional to 416.87, 622.77 and 269.42 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.87 : 622.77 = 269.42 : x
  2. Step 2: Convert to fraction form
    416.87/622.77 = 269.42/x
  3. Step 3: Cross multiply
    416.87x = 622.77 × 269.42
  4. Step 4: Simplify right side
    416.87x = 167,784.08
  5. Step 5: Solve for x
    x = 167,784.08/416.87
  6. Step 6: Final answer
    x = 402.49

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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.