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Finding the Fourth Proportional to 453.66, 681.18 and 281.07

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Solution

The fourth proportional to 453.66, 681.18 and 281.07 is: 422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.66 : 681.18 = 281.07 : x
  2. Step 2: Convert to fraction form
    453.66/681.18 = 281.07/x
  3. Step 3: Cross multiply
    453.66x = 681.18 × 281.07
  4. Step 4: Simplify right side
    453.66x = 191,459.26
  5. Step 5: Solve for x
    x = 191,459.26/453.66
  6. Step 6: Final answer
    x = 422.03

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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.