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Finding the Fourth Proportional to 293.60, 443.04 and 282.88

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Solution

The fourth proportional to 293.60, 443.04 and 282.88 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 443.04 = 282.88 : x
  2. Step 2: Convert to fraction form
    293.60/443.04 = 282.88/x
  3. Step 3: Cross multiply
    293.60x = 443.04 × 282.88
  4. Step 4: Simplify right side
    293.60x = 125,327.16
  5. Step 5: Solve for x
    x = 125,327.16/293.60
  6. Step 6: Final answer
    x = 426.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.