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Finding the Fourth Proportional to 446.55, 616.05 and 280.65

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Solution

The fourth proportional to 446.55, 616.05 and 280.65 is: 387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.55 : 616.05 = 280.65 : x
  2. Step 2: Convert to fraction form
    446.55/616.05 = 280.65/x
  3. Step 3: Cross multiply
    446.55x = 616.05 × 280.65
  4. Step 4: Simplify right side
    446.55x = 172,894.43
  5. Step 5: Solve for x
    x = 172,894.43/446.55
  6. Step 6: Final answer
    x = 387.18

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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.