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Finding the Fourth Proportional to 371.66, 512.58 and 288.62

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Solution

The fourth proportional to 371.66, 512.58 and 288.62 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.66 : 512.58 = 288.62 : x
  2. Step 2: Convert to fraction form
    371.66/512.58 = 288.62/x
  3. Step 3: Cross multiply
    371.66x = 512.58 × 288.62
  4. Step 4: Simplify right side
    371.66x = 147,940.84
  5. Step 5: Solve for x
    x = 147,940.84/371.66
  6. Step 6: Final answer
    x = 398.05

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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.