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Finding the Fourth Proportional to 415.87, 574.05 and 292.21

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Solution

The fourth proportional to 415.87, 574.05 and 292.21 is: 403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.87 : 574.05 = 292.21 : x
  2. Step 2: Convert to fraction form
    415.87/574.05 = 292.21/x
  3. Step 3: Cross multiply
    415.87x = 574.05 × 292.21
  4. Step 4: Simplify right side
    415.87x = 167,743.15
  5. Step 5: Solve for x
    x = 167,743.15/415.87
  6. Step 6: Final answer
    x = 403.35

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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.