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Finding the Fourth Proportional to 371.61, 553.91 and 343.92

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Solution

The fourth proportional to 371.61, 553.91 and 343.92 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.61 : 553.91 = 343.92 : x
  2. Step 2: Convert to fraction form
    371.61/553.91 = 343.92/x
  3. Step 3: Cross multiply
    371.61x = 553.91 × 343.92
  4. Step 4: Simplify right side
    371.61x = 190,500.73
  5. Step 5: Solve for x
    x = 190,500.73/371.61
  6. Step 6: Final answer
    x = 512.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.