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Finding the Fourth Proportional to 414.85, 572.63 and 275.09

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Solution

The fourth proportional to 414.85, 572.63 and 275.09 is: 379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 572.63 = 275.09 : x
  2. Step 2: Convert to fraction form
    414.85/572.63 = 275.09/x
  3. Step 3: Cross multiply
    414.85x = 572.63 × 275.09
  4. Step 4: Simplify right side
    414.85x = 157,524.79
  5. Step 5: Solve for x
    x = 157,524.79/414.85
  6. Step 6: Final answer
    x = 379.72

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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.