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Finding the Fourth Proportional to 446.82, 616.52 and 280.98

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Solution

The fourth proportional to 446.82, 616.52 and 280.98 is: 387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.82 : 616.52 = 280.98 : x
  2. Step 2: Convert to fraction form
    446.82/616.52 = 280.98/x
  3. Step 3: Cross multiply
    446.82x = 616.52 × 280.98
  4. Step 4: Simplify right side
    446.82x = 173,226.07
  5. Step 5: Solve for x
    x = 173,226.07/446.82
  6. Step 6: Final answer
    x = 387.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.