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Finding the Fourth Proportional to 445.82, 615.42 and 340.92

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Solution

The fourth proportional to 445.82, 615.42 and 340.92 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.82 : 615.42 = 340.92 : x
  2. Step 2: Convert to fraction form
    445.82/615.42 = 340.92/x
  3. Step 3: Cross multiply
    445.82x = 615.42 × 340.92
  4. Step 4: Simplify right side
    445.82x = 209,808.99
  5. Step 5: Solve for x
    x = 209,808.99/445.82
  6. Step 6: Final answer
    x = 470.61

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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.