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Finding the Fourth Proportional to 417.11, 574.27 and 343.30

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Solution

The fourth proportional to 417.11, 574.27 and 343.30 is: 472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.11 : 574.27 = 343.30 : x
  2. Step 2: Convert to fraction form
    417.11/574.27 = 343.30/x
  3. Step 3: Cross multiply
    417.11x = 574.27 × 343.30
  4. Step 4: Simplify right side
    417.11x = 197,144.60
  5. Step 5: Solve for x
    x = 197,144.60/417.11
  6. Step 6: Final answer
    x = 472.64

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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.