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Finding the Fourth Proportional to 460.96, 636.22 and 283.91

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Solution

The fourth proportional to 460.96, 636.22 and 283.91 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 636.22 = 283.91 : x
  2. Step 2: Convert to fraction form
    460.96/636.22 = 283.91/x
  3. Step 3: Cross multiply
    460.96x = 636.22 × 283.91
  4. Step 4: Simplify right side
    460.96x = 180,626.39
  5. Step 5: Solve for x
    x = 180,626.39/460.96
  6. Step 6: Final answer
    x = 391.85

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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.