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Finding the Fourth Proportional to 453.87, 681.14 and 271.62

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Solution

The fourth proportional to 453.87, 681.14 and 271.62 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.87 : 681.14 = 271.62 : x
  2. Step 2: Convert to fraction form
    453.87/681.14 = 271.62/x
  3. Step 3: Cross multiply
    453.87x = 681.14 × 271.62
  4. Step 4: Simplify right side
    453.87x = 185,011.93
  5. Step 5: Solve for x
    x = 185,011.93/453.87
  6. Step 6: Final answer
    x = 407.63

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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.