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Finding the Fourth Proportional to 418, 626.99 and 174.79

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Solution

The fourth proportional to 418, 626.99 and 174.79 is: 262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 626.99 = 174.79 : x
  2. Step 2: Convert to fraction form
    418/626.99 = 174.79/x
  3. Step 3: Cross multiply
    418x = 626.99 × 174.79
  4. Step 4: Simplify right side
    418x = 109,591.58
  5. Step 5: Solve for x
    x = 109,591.58/418
  6. Step 6: Final answer
    x = 262.18

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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.