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Finding the Fourth Proportional to 421.17, 580.86 and 271.82

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Solution

The fourth proportional to 421.17, 580.86 and 271.82 is: 374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.17 : 580.86 = 271.82 : x
  2. Step 2: Convert to fraction form
    421.17/580.86 = 271.82/x
  3. Step 3: Cross multiply
    421.17x = 580.86 × 271.82
  4. Step 4: Simplify right side
    421.17x = 157,889.37
  5. Step 5: Solve for x
    x = 157,889.37/421.17
  6. Step 6: Final answer
    x = 374.88

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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.