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Finding the Fourth Proportional to 417.22, 576.42 and 355.66

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Solution

The fourth proportional to 417.22, 576.42 and 355.66 is: 491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.22 : 576.42 = 355.66 : x
  2. Step 2: Convert to fraction form
    417.22/576.42 = 355.66/x
  3. Step 3: Cross multiply
    417.22x = 576.42 × 355.66
  4. Step 4: Simplify right side
    417.22x = 205,009.54
  5. Step 5: Solve for x
    x = 205,009.54/417.22
  6. Step 6: Final answer
    x = 491.37

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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.