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Finding the Fourth Proportional to 421.14, 580.91 and 271.72

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Solution

The fourth proportional to 421.14, 580.91 and 271.72 is: 374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.14 : 580.91 = 271.72 : x
  2. Step 2: Convert to fraction form
    421.14/580.91 = 271.72/x
  3. Step 3: Cross multiply
    421.14x = 580.91 × 271.72
  4. Step 4: Simplify right side
    421.14x = 157,844.09
  5. Step 5: Solve for x
    x = 157,844.09/421.14
  6. Step 6: Final answer
    x = 374.80

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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.