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Finding the Fourth Proportional to 453.67, 681.41 and 271.42

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Solution

The fourth proportional to 453.67, 681.41 and 271.42 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.67 : 681.41 = 271.42 : x
  2. Step 2: Convert to fraction form
    453.67/681.41 = 271.42/x
  3. Step 3: Cross multiply
    453.67x = 681.41 × 271.42
  4. Step 4: Simplify right side
    453.67x = 184,948.30
  5. Step 5: Solve for x
    x = 184,948.30/453.67
  6. Step 6: Final answer
    x = 407.67

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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.