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Finding the Fourth Proportional to 371.42, 553.84 and 346.29

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Solution

The fourth proportional to 371.42, 553.84 and 346.29 is: 516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.42 : 553.84 = 346.29 : x
  2. Step 2: Convert to fraction form
    371.42/553.84 = 346.29/x
  3. Step 3: Cross multiply
    371.42x = 553.84 × 346.29
  4. Step 4: Simplify right side
    371.42x = 191,789.25
  5. Step 5: Solve for x
    x = 191,789.25/371.42
  6. Step 6: Final answer
    x = 516.37

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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.