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Finding the Fourth Proportional to 293.76, 402.48 and 282.84

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Solution

The fourth proportional to 293.76, 402.48 and 282.84 is: 387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 402.48 = 282.84 : x
  2. Step 2: Convert to fraction form
    293.76/402.48 = 282.84/x
  3. Step 3: Cross multiply
    293.76x = 402.48 × 282.84
  4. Step 4: Simplify right side
    293.76x = 113,837.44
  5. Step 5: Solve for x
    x = 113,837.44/293.76
  6. Step 6: Final answer
    x = 387.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.