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Finding the Fourth Proportional to 445.79, 615.41 and 280.24

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Solution

The fourth proportional to 445.79, 615.41 and 280.24 is: 386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.79 : 615.41 = 280.24 : x
  2. Step 2: Convert to fraction form
    445.79/615.41 = 280.24/x
  3. Step 3: Cross multiply
    445.79x = 615.41 × 280.24
  4. Step 4: Simplify right side
    445.79x = 172,462.50
  5. Step 5: Solve for x
    x = 172,462.50/445.79
  6. Step 6: Final answer
    x = 386.87

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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.