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Finding the Fourth Proportional to 453.93, 681.29 and 280.75

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Solution

The fourth proportional to 453.93, 681.29 and 280.75 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.93 : 681.29 = 280.75 : x
  2. Step 2: Convert to fraction form
    453.93/681.29 = 280.75/x
  3. Step 3: Cross multiply
    453.93x = 681.29 × 280.75
  4. Step 4: Simplify right side
    453.93x = 191,271.76
  5. Step 5: Solve for x
    x = 191,271.76/453.93
  6. Step 6: Final answer
    x = 421.37

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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.