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Finding the Fourth Proportional to 479.82, 662.31 and 293.43

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Solution

The fourth proportional to 479.82, 662.31 and 293.43 is: 405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.82 : 662.31 = 293.43 : x
  2. Step 2: Convert to fraction form
    479.82/662.31 = 293.43/x
  3. Step 3: Cross multiply
    479.82x = 662.31 × 293.43
  4. Step 4: Simplify right side
    479.82x = 194,341.62
  5. Step 5: Solve for x
    x = 194,341.62/479.82
  6. Step 6: Final answer
    x = 405.03

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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.