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Finding the Fourth Proportional to 453.97, 681.23 and 237.57

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Solution

The fourth proportional to 453.97, 681.23 and 237.57 is: 356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.97 : 681.23 = 237.57 : x
  2. Step 2: Convert to fraction form
    453.97/681.23 = 237.57/x
  3. Step 3: Cross multiply
    453.97x = 681.23 × 237.57
  4. Step 4: Simplify right side
    453.97x = 161,839.81
  5. Step 5: Solve for x
    x = 161,839.81/453.97
  6. Step 6: Final answer
    x = 356.50

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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.