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Finding the Fourth Proportional to 417.26, 575.64 and 292.88

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Solution

The fourth proportional to 417.26, 575.64 and 292.88 is: 404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.26 : 575.64 = 292.88 : x
  2. Step 2: Convert to fraction form
    417.26/575.64 = 292.88/x
  3. Step 3: Cross multiply
    417.26x = 575.64 × 292.88
  4. Step 4: Simplify right side
    417.26x = 168,593.44
  5. Step 5: Solve for x
    x = 168,593.44/417.26
  6. Step 6: Final answer
    x = 404.05

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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.