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Finding the Fourth Proportional to 479.80, 662.36 and 366.84

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Solution

The fourth proportional to 479.80, 662.36 and 366.84 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.80 : 662.36 = 366.84 : x
  2. Step 2: Convert to fraction form
    479.80/662.36 = 366.84/x
  3. Step 3: Cross multiply
    479.80x = 662.36 × 366.84
  4. Step 4: Simplify right side
    479.80x = 242,980.14
  5. Step 5: Solve for x
    x = 242,980.14/479.80
  6. Step 6: Final answer
    x = 506.42

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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.