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Finding the Fourth Proportional to 417.11, 575.13 and 338.21

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Solution

The fourth proportional to 417.11, 575.13 and 338.21 is: 466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.11 : 575.13 = 338.21 : x
  2. Step 2: Convert to fraction form
    417.11/575.13 = 338.21/x
  3. Step 3: Cross multiply
    417.11x = 575.13 × 338.21
  4. Step 4: Simplify right side
    417.11x = 194,514.72
  5. Step 5: Solve for x
    x = 194,514.72/417.11
  6. Step 6: Final answer
    x = 466.34

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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.