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Finding the Fourth Proportional to 446.01, 615.86 and 280.50

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Solution

The fourth proportional to 446.01, 615.86 and 280.50 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.01 : 615.86 = 280.50 : x
  2. Step 2: Convert to fraction form
    446.01/615.86 = 280.50/x
  3. Step 3: Cross multiply
    446.01x = 615.86 × 280.50
  4. Step 4: Simplify right side
    446.01x = 172,748.73
  5. Step 5: Solve for x
    x = 172,748.73/446.01
  6. Step 6: Final answer
    x = 387.32

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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.