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Finding the Fourth Proportional to 446.45, 615.87 and 280.35

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Solution

The fourth proportional to 446.45, 615.87 and 280.35 is: 386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.45 : 615.87 = 280.35 : x
  2. Step 2: Convert to fraction form
    446.45/615.87 = 280.35/x
  3. Step 3: Cross multiply
    446.45x = 615.87 × 280.35
  4. Step 4: Simplify right side
    446.45x = 172,659.15
  5. Step 5: Solve for x
    x = 172,659.15/446.45
  6. Step 6: Final answer
    x = 386.74

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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.