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Finding the Fourth Proportional to 417.68, 626.16 and 161

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Solution

The fourth proportional to 417.68, 626.16 and 161 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 626.16 = 161 : x
  2. Step 2: Convert to fraction form
    417.68/626.16 = 161/x
  3. Step 3: Cross multiply
    417.68x = 626.16 × 161
  4. Step 4: Simplify right side
    417.68x = 100,811.76
  5. Step 5: Solve for x
    x = 100,811.76/417.68
  6. Step 6: Final answer
    x = 241.36

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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.