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Finding the Fourth Proportional to 349.80, 482.76 and 223.74

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Solution

The fourth proportional to 349.80, 482.76 and 223.74 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.80 : 482.76 = 223.74 : x
  2. Step 2: Convert to fraction form
    349.80/482.76 = 223.74/x
  3. Step 3: Cross multiply
    349.80x = 482.76 × 223.74
  4. Step 4: Simplify right side
    349.80x = 108,012.72
  5. Step 5: Solve for x
    x = 108,012.72/349.80
  6. Step 6: Final answer
    x = 308.78

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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.