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Finding the Fourth Proportional to 453.43, 681.28 and 288.97

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Solution

The fourth proportional to 453.43, 681.28 and 288.97 is: 434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.43 : 681.28 = 288.97 : x
  2. Step 2: Convert to fraction form
    453.43/681.28 = 288.97/x
  3. Step 3: Cross multiply
    453.43x = 681.28 × 288.97
  4. Step 4: Simplify right side
    453.43x = 196,869.48
  5. Step 5: Solve for x
    x = 196,869.48/453.43
  6. Step 6: Final answer
    x = 434.18

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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.