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Finding the Fourth Proportional to 293.64, 402.74 and 286.32

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Solution

The fourth proportional to 293.64, 402.74 and 286.32 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 402.74 = 286.32 : x
  2. Step 2: Convert to fraction form
    293.64/402.74 = 286.32/x
  3. Step 3: Cross multiply
    293.64x = 402.74 × 286.32
  4. Step 4: Simplify right side
    293.64x = 115,311.09
  5. Step 5: Solve for x
    x = 115,311.09/293.64
  6. Step 6: Final answer
    x = 392.70

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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.