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Finding the Fourth Proportional to 446.50, 616.55 and 280.99

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Solution

The fourth proportional to 446.50, 616.55 and 280.99 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 616.55 = 280.99 : x
  2. Step 2: Convert to fraction form
    446.50/616.55 = 280.99/x
  3. Step 3: Cross multiply
    446.50x = 616.55 × 280.99
  4. Step 4: Simplify right side
    446.50x = 173,244.38
  5. Step 5: Solve for x
    x = 173,244.38/446.50
  6. Step 6: Final answer
    x = 388.01

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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.