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Finding the Fourth Proportional to 407.50, 611.08 and 271.22

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Solution

The fourth proportional to 407.50, 611.08 and 271.22 is: 406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.50 : 611.08 = 271.22 : x
  2. Step 2: Convert to fraction form
    407.50/611.08 = 271.22/x
  3. Step 3: Cross multiply
    407.50x = 611.08 × 271.22
  4. Step 4: Simplify right side
    407.50x = 165,733.38
  5. Step 5: Solve for x
    x = 165,733.38/407.50
  6. Step 6: Final answer
    x = 406.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.