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Finding the Fourth Proportional to 371.64, 513.08 and 288.92

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Solution

The fourth proportional to 371.64, 513.08 and 288.92 is: 398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.64 : 513.08 = 288.92 : x
  2. Step 2: Convert to fraction form
    371.64/513.08 = 288.92/x
  3. Step 3: Cross multiply
    371.64x = 513.08 × 288.92
  4. Step 4: Simplify right side
    371.64x = 148,238.73
  5. Step 5: Solve for x
    x = 148,238.73/371.64
  6. Step 6: Final answer
    x = 398.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.