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Finding the Fourth Proportional to 303.52, 453.08 and 280.66

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Solution

The fourth proportional to 303.52, 453.08 and 280.66 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.52 : 453.08 = 280.66 : x
  2. Step 2: Convert to fraction form
    303.52/453.08 = 280.66/x
  3. Step 3: Cross multiply
    303.52x = 453.08 × 280.66
  4. Step 4: Simplify right side
    303.52x = 127,161.43
  5. Step 5: Solve for x
    x = 127,161.43/303.52
  6. Step 6: Final answer
    x = 418.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.