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Finding the Fourth Proportional to 454.32, 626.87 and 255.14

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Solution

The fourth proportional to 454.32, 626.87 and 255.14 is: 352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.32 : 626.87 = 255.14 : x
  2. Step 2: Convert to fraction form
    454.32/626.87 = 255.14/x
  3. Step 3: Cross multiply
    454.32x = 626.87 × 255.14
  4. Step 4: Simplify right side
    454.32x = 159,935.20
  5. Step 5: Solve for x
    x = 159,935.20/454.32
  6. Step 6: Final answer
    x = 352.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.