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Finding the Fourth Proportional to 293.45, 402.52 and 287.37

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Solution

The fourth proportional to 293.45, 402.52 and 287.37 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 402.52 = 287.37 : x
  2. Step 2: Convert to fraction form
    293.45/402.52 = 287.37/x
  3. Step 3: Cross multiply
    293.45x = 402.52 × 287.37
  4. Step 4: Simplify right side
    293.45x = 115,672.17
  5. Step 5: Solve for x
    x = 115,672.17/293.45
  6. Step 6: Final answer
    x = 394.19

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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.