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Finding the Fourth Proportional to 417.36, 625.92 and 160.80

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Solution

The fourth proportional to 417.36, 625.92 and 160.80 is: 241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 625.92 = 160.80 : x
  2. Step 2: Convert to fraction form
    417.36/625.92 = 160.80/x
  3. Step 3: Cross multiply
    417.36x = 625.92 × 160.80
  4. Step 4: Simplify right side
    417.36x = 100,647.94
  5. Step 5: Solve for x
    x = 100,647.94/417.36
  6. Step 6: Final answer
    x = 241.15

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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.