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Finding the Fourth Proportional to 293.32, 401.88 and 289.48

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Solution

The fourth proportional to 293.32, 401.88 and 289.48 is: 396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.32 : 401.88 = 289.48 : x
  2. Step 2: Convert to fraction form
    293.32/401.88 = 289.48/x
  3. Step 3: Cross multiply
    293.32x = 401.88 × 289.48
  4. Step 4: Simplify right side
    293.32x = 116,336.22
  5. Step 5: Solve for x
    x = 116,336.22/293.32
  6. Step 6: Final answer
    x = 396.62

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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.