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Finding the Fourth Proportional to 417.91, 626.82 and 174.41

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Solution

The fourth proportional to 417.91, 626.82 and 174.41 is: 261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.91 : 626.82 = 174.41 : x
  2. Step 2: Convert to fraction form
    417.91/626.82 = 174.41/x
  3. Step 3: Cross multiply
    417.91x = 626.82 × 174.41
  4. Step 4: Simplify right side
    417.91x = 109,323.68
  5. Step 5: Solve for x
    x = 109,323.68/417.91
  6. Step 6: Final answer
    x = 261.60

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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.