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Finding the Fourth Proportional to 446.14, 615.44 and 280.04

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Solution

The fourth proportional to 446.14, 615.44 and 280.04 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.14 : 615.44 = 280.04 : x
  2. Step 2: Convert to fraction form
    446.14/615.44 = 280.04/x
  3. Step 3: Cross multiply
    446.14x = 615.44 × 280.04
  4. Step 4: Simplify right side
    446.14x = 172,347.82
  5. Step 5: Solve for x
    x = 172,347.82/446.14
  6. Step 6: Final answer
    x = 386.31

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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.