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Finding the Fourth Proportional to 446.30, 616.14 and 280.72

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Solution

The fourth proportional to 446.30, 616.14 and 280.72 is: 387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.30 : 616.14 = 280.72 : x
  2. Step 2: Convert to fraction form
    446.30/616.14 = 280.72/x
  3. Step 3: Cross multiply
    446.30x = 616.14 × 280.72
  4. Step 4: Simplify right side
    446.30x = 172,962.82
  5. Step 5: Solve for x
    x = 172,962.82/446.30
  6. Step 6: Final answer
    x = 387.55

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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.