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Finding the Fourth Proportional to 293.52, 407.22 and 282.96

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Solution

The fourth proportional to 293.52, 407.22 and 282.96 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.52 : 407.22 = 282.96 : x
  2. Step 2: Convert to fraction form
    293.52/407.22 = 282.96/x
  3. Step 3: Cross multiply
    293.52x = 407.22 × 282.96
  4. Step 4: Simplify right side
    293.52x = 115,226.97
  5. Step 5: Solve for x
    x = 115,226.97/293.52
  6. Step 6: Final answer
    x = 392.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.