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Finding the Fourth Proportional to 417.84, 626.74 and 255.20

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Solution

The fourth proportional to 417.84, 626.74 and 255.20 is: 382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 626.74 = 255.20 : x
  2. Step 2: Convert to fraction form
    417.84/626.74 = 255.20/x
  3. Step 3: Cross multiply
    417.84x = 626.74 × 255.20
  4. Step 4: Simplify right side
    417.84x = 159,944.05
  5. Step 5: Solve for x
    x = 159,944.05/417.84
  6. Step 6: Final answer
    x = 382.79

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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.