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Finding the Fourth Proportional to 454.22, 626.46 and 296.84

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Solution

The fourth proportional to 454.22, 626.46 and 296.84 is: 409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.22 : 626.46 = 296.84 : x
  2. Step 2: Convert to fraction form
    454.22/626.46 = 296.84/x
  3. Step 3: Cross multiply
    454.22x = 626.46 × 296.84
  4. Step 4: Simplify right side
    454.22x = 185,958.39
  5. Step 5: Solve for x
    x = 185,958.39/454.22
  6. Step 6: Final answer
    x = 409.40

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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.